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Simplifying 3(x + 1) = 4[x + -1(2 + -1x)] Reorder the terms: 3(1 + x) = 4[x + -1(2 + -1x)] (1 * 3 + x * 3) = 4[x + -1(2 + -1x)] (3 + 3x) = 4[x + -1(2 + -1x)] 3 + 3x = 4[x + (2 * -1 + -1x * -1)] 3 + 3x = 4[x + (-2 + 1x)] Reorder the terms: 3 + 3x = 4[-2 + x + 1x] Combine like terms: x + 1x = 2x 3 + 3x = 4[-2 + 2x] 3 + 3x = [-2 * 4 + 2x * 4] 3 + 3x = [-8 + 8x] Solving 3 + 3x = -8 + 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. 3 + 3x + -8x = -8 + 8x + -8x Combine like terms: 3x + -8x = -5x 3 + -5x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -5x = -8 + 0 3 + -5x = -8 Add '-3' to each side of the equation. 3 + -3 + -5x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -8 + -3 -5x = -8 + -3 Combine like terms: -8 + -3 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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