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Simplifying -1(4x + -3) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4 Reorder the terms: -1(-3 + 4x) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4 (-3 * -1 + 4x * -1) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4 (3 + -4x) + -1(8x + -9) + 4 = -9(x + -4) + -1(6x + 7) + 4 Reorder the terms: 3 + -4x + -1(-9 + 8x) + 4 = -9(x + -4) + -1(6x + 7) + 4 3 + -4x + (-9 * -1 + 8x * -1) + 4 = -9(x + -4) + -1(6x + 7) + 4 3 + -4x + (9 + -8x) + 4 = -9(x + -4) + -1(6x + 7) + 4 Reorder the terms: 3 + 9 + 4 + -4x + -8x = -9(x + -4) + -1(6x + 7) + 4 Combine like terms: 3 + 9 = 12 12 + 4 + -4x + -8x = -9(x + -4) + -1(6x + 7) + 4 Combine like terms: 12 + 4 = 16 16 + -4x + -8x = -9(x + -4) + -1(6x + 7) + 4 Combine like terms: -4x + -8x = -12x 16 + -12x = -9(x + -4) + -1(6x + 7) + 4 Reorder the terms: 16 + -12x = -9(-4 + x) + -1(6x + 7) + 4 16 + -12x = (-4 * -9 + x * -9) + -1(6x + 7) + 4 16 + -12x = (36 + -9x) + -1(6x + 7) + 4 Reorder the terms: 16 + -12x = 36 + -9x + -1(7 + 6x) + 4 16 + -12x = 36 + -9x + (7 * -1 + 6x * -1) + 4 16 + -12x = 36 + -9x + (-7 + -6x) + 4 Reorder the terms: 16 + -12x = 36 + -7 + 4 + -9x + -6x Combine like terms: 36 + -7 = 29 16 + -12x = 29 + 4 + -9x + -6x Combine like terms: 29 + 4 = 33 16 + -12x = 33 + -9x + -6x Combine like terms: -9x + -6x = -15x 16 + -12x = 33 + -15x Solving 16 + -12x = 33 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 16 + -12x + 15x = 33 + -15x + 15x Combine like terms: -12x + 15x = 3x 16 + 3x = 33 + -15x + 15x Combine like terms: -15x + 15x = 0 16 + 3x = 33 + 0 16 + 3x = 33 Add '-16' to each side of the equation. 16 + -16 + 3x = 33 + -16 Combine like terms: 16 + -16 = 0 0 + 3x = 33 + -16 3x = 33 + -16 Combine like terms: 33 + -16 = 17 3x = 17 Divide each side by '3'. x = 5.666666667 Simplifying x = 5.666666667
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