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Simplifying 5(2x + 1) = 3(3x + -1) Reorder the terms: 5(1 + 2x) = 3(3x + -1) (1 * 5 + 2x * 5) = 3(3x + -1) (5 + 10x) = 3(3x + -1) Reorder the terms: 5 + 10x = 3(-1 + 3x) 5 + 10x = (-1 * 3 + 3x * 3) 5 + 10x = (-3 + 9x) Solving 5 + 10x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 10x + -9x = -3 + 9x + -9x Combine like terms: 10x + -9x = 1x 5 + 1x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + 1x = -3 + 0 5 + 1x = -3 Add '-5' to each side of the equation. 5 + -5 + 1x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -3 + -5 1x = -3 + -5 Combine like terms: -3 + -5 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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