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Simplifying 4(x + 1) + -3x + -2 = -4(3 + -2x) Reorder the terms: 4(1 + x) + -3x + -2 = -4(3 + -2x) (1 * 4 + x * 4) + -3x + -2 = -4(3 + -2x) (4 + 4x) + -3x + -2 = -4(3 + -2x) Reorder the terms: 4 + -2 + 4x + -3x = -4(3 + -2x) Combine like terms: 4 + -2 = 2 2 + 4x + -3x = -4(3 + -2x) Combine like terms: 4x + -3x = 1x 2 + 1x = -4(3 + -2x) 2 + 1x = (3 * -4 + -2x * -4) 2 + 1x = (-12 + 8x) Solving 2 + 1x = -12 + 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. 2 + 1x + -8x = -12 + 8x + -8x Combine like terms: 1x + -8x = -7x 2 + -7x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -7x = -12 + 0 2 + -7x = -12 Add '-2' to each side of the equation. 2 + -2 + -7x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = -12 + -2 -7x = -12 + -2 Combine like terms: -12 + -2 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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