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Simplifying 3(3x + -2) = 5(2x + 4) Reorder the terms: 3(-2 + 3x) = 5(2x + 4) (-2 * 3 + 3x * 3) = 5(2x + 4) (-6 + 9x) = 5(2x + 4) Reorder the terms: -6 + 9x = 5(4 + 2x) -6 + 9x = (4 * 5 + 2x * 5) -6 + 9x = (20 + 10x) Solving -6 + 9x = 20 + 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. -6 + 9x + -10x = 20 + 10x + -10x Combine like terms: 9x + -10x = -1x -6 + -1x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -1x = 20 + 0 -6 + -1x = 20 Add '6' to each side of the equation. -6 + 6 + -1x = 20 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 20 + 6 -1x = 20 + 6 Combine like terms: 20 + 6 = 26 -1x = 26 Divide each side by '-1'. x = -26 Simplifying x = -26
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