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