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Simplifying 4(2x + 2) = 2(5x + -1) Reorder the terms: 4(2 + 2x) = 2(5x + -1) (2 * 4 + 2x * 4) = 2(5x + -1) (8 + 8x) = 2(5x + -1) Reorder the terms: 8 + 8x = 2(-1 + 5x) 8 + 8x = (-1 * 2 + 5x * 2) 8 + 8x = (-2 + 10x) Solving 8 + 8x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 8x + -10x = -2 + 10x + -10x Combine like terms: 8x + -10x = -2x 8 + -2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 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 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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