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Simplifying 5(2x + 3) = 2(3x + 8) Reorder the terms: 5(3 + 2x) = 2(3x + 8) (3 * 5 + 2x * 5) = 2(3x + 8) (15 + 10x) = 2(3x + 8) Reorder the terms: 15 + 10x = 2(8 + 3x) 15 + 10x = (8 * 2 + 3x * 2) 15 + 10x = (16 + 6x) Solving 15 + 10x = 16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 10x + -6x = 16 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = 16 + 0 15 + 4x = 16 Add '-15' to each side of the equation. 15 + -15 + 4x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 16 + -15 4x = 16 + -15 Combine like terms: 16 + -15 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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