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Simplifying 2(x + 1) = 5(2x + 1) Reorder the terms: 2(1 + x) = 5(2x + 1) (1 * 2 + x * 2) = 5(2x + 1) (2 + 2x) = 5(2x + 1) Reorder the terms: 2 + 2x = 5(1 + 2x) 2 + 2x = (1 * 5 + 2x * 5) 2 + 2x = (5 + 10x) Solving 2 + 2x = 5 + 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. 2 + 2x + -10x = 5 + 10x + -10x Combine like terms: 2x + -10x = -8x 2 + -8x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + -8x = 5 + 0 2 + -8x = 5 Add '-2' to each side of the equation. 2 + -2 + -8x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = 5 + -2 -8x = 5 + -2 Combine like terms: 5 + -2 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375
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