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Simplifying 2(x + 4) = 2(2x + 10) Reorder the terms: 2(4 + x) = 2(2x + 10) (4 * 2 + x * 2) = 2(2x + 10) (8 + 2x) = 2(2x + 10) Reorder the terms: 8 + 2x = 2(10 + 2x) 8 + 2x = (10 * 2 + 2x * 2) 8 + 2x = (20 + 4x) Solving 8 + 2x = 20 + 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. 8 + 2x + -4x = 20 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 8 + -2x = 20 + 0 8 + -2x = 20 Add '-8' to each side of the equation. 8 + -8 + -2x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 20 + -8 -2x = 20 + -8 Combine like terms: 20 + -8 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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