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Simplifying 5(2x + 3) = 6(3x + 2) Reorder the terms: 5(3 + 2x) = 6(3x + 2) (3 * 5 + 2x * 5) = 6(3x + 2) (15 + 10x) = 6(3x + 2) Reorder the terms: 15 + 10x = 6(2 + 3x) 15 + 10x = (2 * 6 + 3x * 6) 15 + 10x = (12 + 18x) Solving 15 + 10x = 12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + 10x + -18x = 12 + 18x + -18x Combine like terms: 10x + -18x = -8x 15 + -8x = 12 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -8x = 12 + 0 15 + -8x = 12 Add '-15' to each side of the equation. 15 + -15 + -8x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = 12 + -15 -8x = 12 + -15 Combine like terms: 12 + -15 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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