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Simplifying 2(2x + 4) = 2(x + -4) + 10 Reorder the terms: 2(4 + 2x) = 2(x + -4) + 10 (4 * 2 + 2x * 2) = 2(x + -4) + 10 (8 + 4x) = 2(x + -4) + 10 Reorder the terms: 8 + 4x = 2(-4 + x) + 10 8 + 4x = (-4 * 2 + x * 2) + 10 8 + 4x = (-8 + 2x) + 10 Reorder the terms: 8 + 4x = -8 + 10 + 2x Combine like terms: -8 + 10 = 2 8 + 4x = 2 + 2x Solving 8 + 4x = 2 + 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. 8 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 2 + 0 8 + 2x = 2 Add '-8' to each side of the equation. 8 + -8 + 2x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 2 + -8 2x = 2 + -8 Combine like terms: 2 + -8 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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