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Simplifying 4(x + 1) + -3x = 2(x + -1) + 3x Reorder the terms: 4(1 + x) + -3x = 2(x + -1) + 3x (1 * 4 + x * 4) + -3x = 2(x + -1) + 3x (4 + 4x) + -3x = 2(x + -1) + 3x Combine like terms: 4x + -3x = 1x 4 + 1x = 2(x + -1) + 3x Reorder the terms: 4 + 1x = 2(-1 + x) + 3x 4 + 1x = (-1 * 2 + x * 2) + 3x 4 + 1x = (-2 + 2x) + 3x Combine like terms: 2x + 3x = 5x 4 + 1x = -2 + 5x Solving 4 + 1x = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 1x + -5x = -2 + 5x + -5x Combine like terms: 1x + -5x = -4x 4 + -4x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -4x = -2 + 0 4 + -4x = -2 Add '-4' to each side of the equation. 4 + -4 + -4x = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -2 + -4 -4x = -2 + -4 Combine like terms: -2 + -4 = -6 -4x = -6 Divide each side by '-4'. x = 1.5 Simplifying x = 1.5
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