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Simplifying 3(x + -1) + 4(2 + -1x) = 2x + -1 Reorder the terms: 3(-1 + x) + 4(2 + -1x) = 2x + -1 (-1 * 3 + x * 3) + 4(2 + -1x) = 2x + -1 (-3 + 3x) + 4(2 + -1x) = 2x + -1 -3 + 3x + (2 * 4 + -1x * 4) = 2x + -1 -3 + 3x + (8 + -4x) = 2x + -1 Reorder the terms: -3 + 8 + 3x + -4x = 2x + -1 Combine like terms: -3 + 8 = 5 5 + 3x + -4x = 2x + -1 Combine like terms: 3x + -4x = -1x 5 + -1x = 2x + -1 Reorder the terms: 5 + -1x = -1 + 2x Solving 5 + -1x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -1x + -2x = -1 + 2x + -2x Combine like terms: -1x + -2x = -3x 5 + -3x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -3x = -1 + 0 5 + -3x = -1 Add '-5' to each side of the equation. 5 + -5 + -3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -1 + -5 -3x = -1 + -5 Combine like terms: -1 + -5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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