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Simplifying 32 + -1[4 + 6x + -5(x + 4)] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] Reorder the terms: 32 + -1[4 + 6x + -5(4 + x)] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] 32 + -1[4 + 6x + (4 * -5 + x * -5)] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] 32 + -1[4 + 6x + (-20 + -5x)] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] Reorder the terms: 32 + -1[4 + -20 + 6x + -5x] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] Combine like terms: 4 + -20 = -16 32 + -1[-16 + 6x + -5x] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] Combine like terms: 6x + -5x = 1x 32 + -1[-16 + 1x] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] 32 + [-16 * -1 + 1x * -1] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] 32 + [16 + -1x] = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] Combine like terms: 32 + 16 = 48 48 + -1x = 4(x + 4) + -1[6(3x + -4) + 7 + -4x] Reorder the terms: 48 + -1x = 4(4 + x) + -1[6(3x + -4) + 7 + -4x] 48 + -1x = (4 * 4 + x * 4) + -1[6(3x + -4) + 7 + -4x] 48 + -1x = (16 + 4x) + -1[6(3x + -4) + 7 + -4x] Reorder the terms: 48 + -1x = 16 + 4x + -1[6(-4 + 3x) + 7 + -4x] 48 + -1x = 16 + 4x + -1[(-4 * 6 + 3x * 6) + 7 + -4x] 48 + -1x = 16 + 4x + -1[(-24 + 18x) + 7 + -4x] Reorder the terms: 48 + -1x = 16 + 4x + -1[-24 + 7 + 18x + -4x] Combine like terms: -24 + 7 = -17 48 + -1x = 16 + 4x + -1[-17 + 18x + -4x] Combine like terms: 18x + -4x = 14x 48 + -1x = 16 + 4x + -1[-17 + 14x] 48 + -1x = 16 + 4x + [-17 * -1 + 14x * -1] 48 + -1x = 16 + 4x + [17 + -14x] Reorder the terms: 48 + -1x = 16 + 17 + 4x + -14x Combine like terms: 16 + 17 = 33 48 + -1x = 33 + 4x + -14x Combine like terms: 4x + -14x = -10x 48 + -1x = 33 + -10x Solving 48 + -1x = 33 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 48 + -1x + 10x = 33 + -10x + 10x Combine like terms: -1x + 10x = 9x 48 + 9x = 33 + -10x + 10x Combine like terms: -10x + 10x = 0 48 + 9x = 33 + 0 48 + 9x = 33 Add '-48' to each side of the equation. 48 + -48 + 9x = 33 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 33 + -48 9x = 33 + -48 Combine like terms: 33 + -48 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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