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Simplifying 3(2x + -3) = 12(x + -2) Reorder the terms: 3(-3 + 2x) = 12(x + -2) (-3 * 3 + 2x * 3) = 12(x + -2) (-9 + 6x) = 12(x + -2) Reorder the terms: -9 + 6x = 12(-2 + x) -9 + 6x = (-2 * 12 + x * 12) -9 + 6x = (-24 + 12x) Solving -9 + 6x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -9 + 6x + -12x = -24 + 12x + -12x Combine like terms: 6x + -12x = -6x -9 + -6x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -6x = -24 + 0 -9 + -6x = -24 Add '9' to each side of the equation. -9 + 9 + -6x = -24 + 9 Combine like terms: -9 + 9 = 0 0 + -6x = -24 + 9 -6x = -24 + 9 Combine like terms: -24 + 9 = -15 -6x = -15 Divide each side by '-6'. x = 2.5 Simplifying x = 2.5
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