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Simplifying 3(x + -4) + -3 = -2(1 + -4x) + -8 Reorder the terms: 3(-4 + x) + -3 = -2(1 + -4x) + -8 (-4 * 3 + x * 3) + -3 = -2(1 + -4x) + -8 (-12 + 3x) + -3 = -2(1 + -4x) + -8 Reorder the terms: -12 + -3 + 3x = -2(1 + -4x) + -8 Combine like terms: -12 + -3 = -15 -15 + 3x = -2(1 + -4x) + -8 -15 + 3x = (1 * -2 + -4x * -2) + -8 -15 + 3x = (-2 + 8x) + -8 Reorder the terms: -15 + 3x = -2 + -8 + 8x Combine like terms: -2 + -8 = -10 -15 + 3x = -10 + 8x Solving -15 + 3x = -10 + 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. -15 + 3x + -8x = -10 + 8x + -8x Combine like terms: 3x + -8x = -5x -15 + -5x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -5x = -10 + 0 -15 + -5x = -10 Add '15' to each side of the equation. -15 + 15 + -5x = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = -10 + 15 -5x = -10 + 15 Combine like terms: -10 + 15 = 5 -5x = 5 Divide each side by '-5'. x = -1 Simplifying x = -1
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