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Simplifying 3(3x + -6) = 2(7x + -4) Reorder the terms: 3(-6 + 3x) = 2(7x + -4) (-6 * 3 + 3x * 3) = 2(7x + -4) (-18 + 9x) = 2(7x + -4) Reorder the terms: -18 + 9x = 2(-4 + 7x) -18 + 9x = (-4 * 2 + 7x * 2) -18 + 9x = (-8 + 14x) Solving -18 + 9x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -18 + 9x + -14x = -8 + 14x + -14x Combine like terms: 9x + -14x = -5x -18 + -5x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -18 + -5x = -8 + 0 -18 + -5x = -8 Add '18' to each side of the equation. -18 + 18 + -5x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = -8 + 18 -5x = -8 + 18 Combine like terms: -8 + 18 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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