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Simplifying 5(2x + 3) = 2(3x + 1) Reorder the terms: 5(3 + 2x) = 2(3x + 1) (3 * 5 + 2x * 5) = 2(3x + 1) (15 + 10x) = 2(3x + 1) Reorder the terms: 15 + 10x = 2(1 + 3x) 15 + 10x = (1 * 2 + 3x * 2) 15 + 10x = (2 + 6x) Solving 15 + 10x = 2 + 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 = 2 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = 2 + 0 15 + 4x = 2 Add '-15' to each side of the equation. 15 + -15 + 4x = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 2 + -15 4x = 2 + -15 Combine like terms: 2 + -15 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25
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