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Simplifying 3x + -1x + 4(1 + -1x) = 5(1 + -2x) + -12 3x + -1x + (1 * 4 + -1x * 4) = 5(1 + -2x) + -12 3x + -1x + (4 + -4x) = 5(1 + -2x) + -12 Reorder the terms: 4 + 3x + -1x + -4x = 5(1 + -2x) + -12 Combine like terms: 3x + -1x = 2x 4 + 2x + -4x = 5(1 + -2x) + -12 Combine like terms: 2x + -4x = -2x 4 + -2x = 5(1 + -2x) + -12 4 + -2x = (1 * 5 + -2x * 5) + -12 4 + -2x = (5 + -10x) + -12 Reorder the terms: 4 + -2x = 5 + -12 + -10x Combine like terms: 5 + -12 = -7 4 + -2x = -7 + -10x Solving 4 + -2x = -7 + -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. 4 + -2x + 10x = -7 + -10x + 10x Combine like terms: -2x + 10x = 8x 4 + 8x = -7 + -10x + 10x Combine like terms: -10x + 10x = 0 4 + 8x = -7 + 0 4 + 8x = -7 Add '-4' to each side of the equation. 4 + -4 + 8x = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = -7 + -4 8x = -7 + -4 Combine like terms: -7 + -4 = -11 8x = -11 Divide each side by '8'. x = -1.375 Simplifying x = -1.375
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