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Simplifying -18 + -1[3(x + 2) + 4] = 21 + -1[6(-2x + -2) + 1] Reorder the terms: -18 + -1[3(2 + x) + 4] = 21 + -1[6(-2x + -2) + 1] -18 + -1[(2 * 3 + x * 3) + 4] = 21 + -1[6(-2x + -2) + 1] -18 + -1[(6 + 3x) + 4] = 21 + -1[6(-2x + -2) + 1] Reorder the terms: -18 + -1[6 + 4 + 3x] = 21 + -1[6(-2x + -2) + 1] Combine like terms: 6 + 4 = 10 -18 + -1[10 + 3x] = 21 + -1[6(-2x + -2) + 1] -18 + [10 * -1 + 3x * -1] = 21 + -1[6(-2x + -2) + 1] -18 + [-10 + -3x] = 21 + -1[6(-2x + -2) + 1] Combine like terms: -18 + -10 = -28 -28 + -3x = 21 + -1[6(-2x + -2) + 1] Reorder the terms: -28 + -3x = 21 + -1[6(-2 + -2x) + 1] -28 + -3x = 21 + -1[(-2 * 6 + -2x * 6) + 1] -28 + -3x = 21 + -1[(-12 + -12x) + 1] Reorder the terms: -28 + -3x = 21 + -1[-12 + 1 + -12x] Combine like terms: -12 + 1 = -11 -28 + -3x = 21 + -1[-11 + -12x] -28 + -3x = 21 + [-11 * -1 + -12x * -1] -28 + -3x = 21 + [11 + 12x] Combine like terms: 21 + 11 = 32 -28 + -3x = 32 + 12x Solving -28 + -3x = 32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -28 + -3x + -12x = 32 + 12x + -12x Combine like terms: -3x + -12x = -15x -28 + -15x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 -28 + -15x = 32 + 0 -28 + -15x = 32 Add '28' to each side of the equation. -28 + 28 + -15x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + -15x = 32 + 28 -15x = 32 + 28 Combine like terms: 32 + 28 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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