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Simplifying 5 + -1(2x + -4) + 7 = 2(3 + -2x) Reorder the terms: 5 + -1(-4 + 2x) + 7 = 2(3 + -2x) 5 + (-4 * -1 + 2x * -1) + 7 = 2(3 + -2x) 5 + (4 + -2x) + 7 = 2(3 + -2x) Reorder the terms: 5 + 4 + 7 + -2x = 2(3 + -2x) Combine like terms: 5 + 4 = 9 9 + 7 + -2x = 2(3 + -2x) Combine like terms: 9 + 7 = 16 16 + -2x = 2(3 + -2x) 16 + -2x = (3 * 2 + -2x * 2) 16 + -2x = (6 + -4x) Solving 16 + -2x = 6 + -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. 16 + -2x + 4x = 6 + -4x + 4x Combine like terms: -2x + 4x = 2x 16 + 2x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 2x = 6 + 0 16 + 2x = 6 Add '-16' to each side of the equation. 16 + -16 + 2x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 6 + -16 2x = 6 + -16 Combine like terms: 6 + -16 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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