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Simplifying -2(2x + -4) = 15 + -3(2x + 1) Reorder the terms: -2(-4 + 2x) = 15 + -3(2x + 1) (-4 * -2 + 2x * -2) = 15 + -3(2x + 1) (8 + -4x) = 15 + -3(2x + 1) Reorder the terms: 8 + -4x = 15 + -3(1 + 2x) 8 + -4x = 15 + (1 * -3 + 2x * -3) 8 + -4x = 15 + (-3 + -6x) Combine like terms: 15 + -3 = 12 8 + -4x = 12 + -6x Solving 8 + -4x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x 8 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 2x = 12 + 0 8 + 2x = 12 Add '-8' to each side of the equation. 8 + -8 + 2x = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 12 + -8 2x = 12 + -8 Combine like terms: 12 + -8 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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