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Simplifying 5 + -1(x + -2) = 3 + -1(2x + 4) Reorder the terms: 5 + -1(-2 + x) = 3 + -1(2x + 4) 5 + (-2 * -1 + x * -1) = 3 + -1(2x + 4) 5 + (2 + -1x) = 3 + -1(2x + 4) Combine like terms: 5 + 2 = 7 7 + -1x = 3 + -1(2x + 4) Reorder the terms: 7 + -1x = 3 + -1(4 + 2x) 7 + -1x = 3 + (4 * -1 + 2x * -1) 7 + -1x = 3 + (-4 + -2x) Combine like terms: 3 + -4 = -1 7 + -1x = -1 + -2x Solving 7 + -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. 7 + -1x + 2x = -1 + -2x + 2x Combine like terms: -1x + 2x = 1x 7 + 1x = -1 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 1x = -1 + 0 7 + 1x = -1 Add '-7' to each side of the equation. 7 + -7 + 1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -1 + -7 1x = -1 + -7 Combine like terms: -1 + -7 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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