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Simplifying 4(x + 1) = 5(2 + 2x) Reorder the terms: 4(1 + x) = 5(2 + 2x) (1 * 4 + x * 4) = 5(2 + 2x) (4 + 4x) = 5(2 + 2x) 4 + 4x = (2 * 5 + 2x * 5) 4 + 4x = (10 + 10x) Solving 4 + 4x = 10 + 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. 4 + 4x + -10x = 10 + 10x + -10x Combine like terms: 4x + -10x = -6x 4 + -6x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -6x = 10 + 0 4 + -6x = 10 Add '-4' to each side of the equation. 4 + -4 + -6x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 10 + -4 -6x = 10 + -4 Combine like terms: 10 + -4 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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