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Simplifying 2(x + 2) + 1 = 5(2x + 3) Reorder the terms: 2(2 + x) + 1 = 5(2x + 3) (2 * 2 + x * 2) + 1 = 5(2x + 3) (4 + 2x) + 1 = 5(2x + 3) Reorder the terms: 4 + 1 + 2x = 5(2x + 3) Combine like terms: 4 + 1 = 5 5 + 2x = 5(2x + 3) Reorder the terms: 5 + 2x = 5(3 + 2x) 5 + 2x = (3 * 5 + 2x * 5) 5 + 2x = (15 + 10x) Solving 5 + 2x = 15 + 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. 5 + 2x + -10x = 15 + 10x + -10x Combine like terms: 2x + -10x = -8x 5 + -8x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + -8x = 15 + 0 5 + -8x = 15 Add '-5' to each side of the equation. 5 + -5 + -8x = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 15 + -5 -8x = 15 + -5 Combine like terms: 15 + -5 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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