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Simplifying 9x + -3(2x + -4) = 12(x + -7) Reorder the terms: 9x + -3(-4 + 2x) = 12(x + -7) 9x + (-4 * -3 + 2x * -3) = 12(x + -7) 9x + (12 + -6x) = 12(x + -7) Reorder the terms: 12 + 9x + -6x = 12(x + -7) Combine like terms: 9x + -6x = 3x 12 + 3x = 12(x + -7) Reorder the terms: 12 + 3x = 12(-7 + x) 12 + 3x = (-7 * 12 + x * 12) 12 + 3x = (-84 + 12x) Solving 12 + 3x = -84 + 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. 12 + 3x + -12x = -84 + 12x + -12x Combine like terms: 3x + -12x = -9x 12 + -9x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -9x = -84 + 0 12 + -9x = -84 Add '-12' to each side of the equation. 12 + -12 + -9x = -84 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -84 + -12 -9x = -84 + -12 Combine like terms: -84 + -12 = -96 -9x = -96 Divide each side by '-9'. x = 10.66666667 Simplifying x = 10.66666667
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