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Simplifying 4[2x + 5(3 + -2x) + -12] = 5(x + -1) + 3(x + 1) + 18 4[2x + (3 * 5 + -2x * 5) + -12] = 5(x + -1) + 3(x + 1) + 18 4[2x + (15 + -10x) + -12] = 5(x + -1) + 3(x + 1) + 18 Reorder the terms: 4[15 + -12 + 2x + -10x] = 5(x + -1) + 3(x + 1) + 18 Combine like terms: 15 + -12 = 3 4[3 + 2x + -10x] = 5(x + -1) + 3(x + 1) + 18 Combine like terms: 2x + -10x = -8x 4[3 + -8x] = 5(x + -1) + 3(x + 1) + 18 [3 * 4 + -8x * 4] = 5(x + -1) + 3(x + 1) + 18 [12 + -32x] = 5(x + -1) + 3(x + 1) + 18 Reorder the terms: 12 + -32x = 5(-1 + x) + 3(x + 1) + 18 12 + -32x = (-1 * 5 + x * 5) + 3(x + 1) + 18 12 + -32x = (-5 + 5x) + 3(x + 1) + 18 Reorder the terms: 12 + -32x = -5 + 5x + 3(1 + x) + 18 12 + -32x = -5 + 5x + (1 * 3 + x * 3) + 18 12 + -32x = -5 + 5x + (3 + 3x) + 18 Reorder the terms: 12 + -32x = -5 + 3 + 18 + 5x + 3x Combine like terms: -5 + 3 = -2 12 + -32x = -2 + 18 + 5x + 3x Combine like terms: -2 + 18 = 16 12 + -32x = 16 + 5x + 3x Combine like terms: 5x + 3x = 8x 12 + -32x = 16 + 8x Solving 12 + -32x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -32x + -8x = 16 + 8x + -8x Combine like terms: -32x + -8x = -40x 12 + -40x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -40x = 16 + 0 12 + -40x = 16 Add '-12' to each side of the equation. 12 + -12 + -40x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -40x = 16 + -12 -40x = 16 + -12 Combine like terms: 16 + -12 = 4 -40x = 4 Divide each side by '-40'. x = -0.1 Simplifying x = -0.1
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