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Simplifying 3(x + -2) = 12(x + -3) Reorder the terms: 3(-2 + x) = 12(x + -3) (-2 * 3 + x * 3) = 12(x + -3) (-6 + 3x) = 12(x + -3) Reorder the terms: -6 + 3x = 12(-3 + x) -6 + 3x = (-3 * 12 + x * 12) -6 + 3x = (-36 + 12x) Solving -6 + 3x = -36 + 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. -6 + 3x + -12x = -36 + 12x + -12x Combine like terms: 3x + -12x = -9x -6 + -9x = -36 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -9x = -36 + 0 -6 + -9x = -36 Add '6' to each side of the equation. -6 + 6 + -9x = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = -36 + 6 -9x = -36 + 6 Combine like terms: -36 + 6 = -30 -9x = -30 Divide each side by '-9'. x = 3.333333333 Simplifying x = 3.333333333
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