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