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Simplifying 2(x + 2) = 5(2x + 3) Reorder the terms: 2(2 + x) = 5(2x + 3) (2 * 2 + x * 2) = 5(2x + 3) (4 + 2x) = 5(2x + 3) Reorder the terms: 4 + 2x = 5(3 + 2x) 4 + 2x = (3 * 5 + 2x * 5) 4 + 2x = (15 + 10x) Solving 4 + 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. 4 + 2x + -10x = 15 + 10x + -10x Combine like terms: 2x + -10x = -8x 4 + -8x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -8x = 15 + 0 4 + -8x = 15 Add '-4' to each side of the equation. 4 + -4 + -8x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -8x = 15 + -4 -8x = 15 + -4 Combine like terms: 15 + -4 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375
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