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Simplifying 2x + 3(x + 1) = 4(x + -1) Reorder the terms: 2x + 3(1 + x) = 4(x + -1) 2x + (1 * 3 + x * 3) = 4(x + -1) 2x + (3 + 3x) = 4(x + -1) Reorder the terms: 3 + 2x + 3x = 4(x + -1) Combine like terms: 2x + 3x = 5x 3 + 5x = 4(x + -1) Reorder the terms: 3 + 5x = 4(-1 + x) 3 + 5x = (-1 * 4 + x * 4) 3 + 5x = (-4 + 4x) Solving 3 + 5x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 5x + -4x = -4 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = -4 + 0 3 + 1x = -4 Add '-3' to each side of the equation. 3 + -3 + 1x = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -4 + -3 1x = -4 + -3 Combine like terms: -4 + -3 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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