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Simplifying -5 + -3(x + -2) = 2(2x + 4) Reorder the terms: -5 + -3(-2 + x) = 2(2x + 4) -5 + (-2 * -3 + x * -3) = 2(2x + 4) -5 + (6 + -3x) = 2(2x + 4) Combine like terms: -5 + 6 = 1 1 + -3x = 2(2x + 4) Reorder the terms: 1 + -3x = 2(4 + 2x) 1 + -3x = (4 * 2 + 2x * 2) 1 + -3x = (8 + 4x) Solving 1 + -3x = 8 + 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. 1 + -3x + -4x = 8 + 4x + -4x Combine like terms: -3x + -4x = -7x 1 + -7x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + -7x = 8 + 0 1 + -7x = 8 Add '-1' to each side of the equation. 1 + -1 + -7x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = 8 + -1 -7x = 8 + -1 Combine like terms: 8 + -1 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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