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Simplifying 2(2x + -2) + -5 = 2(x + -4) + 15 Reorder the terms: 2(-2 + 2x) + -5 = 2(x + -4) + 15 (-2 * 2 + 2x * 2) + -5 = 2(x + -4) + 15 (-4 + 4x) + -5 = 2(x + -4) + 15 Reorder the terms: -4 + -5 + 4x = 2(x + -4) + 15 Combine like terms: -4 + -5 = -9 -9 + 4x = 2(x + -4) + 15 Reorder the terms: -9 + 4x = 2(-4 + x) + 15 -9 + 4x = (-4 * 2 + x * 2) + 15 -9 + 4x = (-8 + 2x) + 15 Reorder the terms: -9 + 4x = -8 + 15 + 2x Combine like terms: -8 + 15 = 7 -9 + 4x = 7 + 2x Solving -9 + 4x = 7 + 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. -9 + 4x + -2x = 7 + 2x + -2x Combine like terms: 4x + -2x = 2x -9 + 2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 2x = 7 + 0 -9 + 2x = 7 Add '9' to each side of the equation. -9 + 9 + 2x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 7 + 9 2x = 7 + 9 Combine like terms: 7 + 9 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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