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Simplifying 3(x + -4) + -9 = 2(x + -6) Reorder the terms: 3(-4 + x) + -9 = 2(x + -6) (-4 * 3 + x * 3) + -9 = 2(x + -6) (-12 + 3x) + -9 = 2(x + -6) Reorder the terms: -12 + -9 + 3x = 2(x + -6) Combine like terms: -12 + -9 = -21 -21 + 3x = 2(x + -6) Reorder the terms: -21 + 3x = 2(-6 + x) -21 + 3x = (-6 * 2 + x * 2) -21 + 3x = (-12 + 2x) Solving -21 + 3x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -21 + 3x + -2x = -12 + 2x + -2x Combine like terms: 3x + -2x = 1x -21 + 1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 1x = -12 + 0 -21 + 1x = -12 Add '21' to each side of the equation. -21 + 21 + 1x = -12 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -12 + 21 1x = -12 + 21 Combine like terms: -12 + 21 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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