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Simplifying 3(3x + 1) = 5(2x + -1) Reorder the terms: 3(1 + 3x) = 5(2x + -1) (1 * 3 + 3x * 3) = 5(2x + -1) (3 + 9x) = 5(2x + -1) Reorder the terms: 3 + 9x = 5(-1 + 2x) 3 + 9x = (-1 * 5 + 2x * 5) 3 + 9x = (-5 + 10x) Solving 3 + 9x = -5 + 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. 3 + 9x + -10x = -5 + 10x + -10x Combine like terms: 9x + -10x = -1x 3 + -1x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -1x = -5 + 0 3 + -1x = -5 Add '-3' to each side of the equation. 3 + -3 + -1x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -5 + -3 -1x = -5 + -3 Combine like terms: -5 + -3 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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