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Simplifying 12(x + -7) = -3(x + 2) Reorder the terms: 12(-7 + x) = -3(x + 2) (-7 * 12 + x * 12) = -3(x + 2) (-84 + 12x) = -3(x + 2) Reorder the terms: -84 + 12x = -3(2 + x) -84 + 12x = (2 * -3 + x * -3) -84 + 12x = (-6 + -3x) Solving -84 + 12x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -84 + 12x + 3x = -6 + -3x + 3x Combine like terms: 12x + 3x = 15x -84 + 15x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -84 + 15x = -6 + 0 -84 + 15x = -6 Add '84' to each side of the equation. -84 + 84 + 15x = -6 + 84 Combine like terms: -84 + 84 = 0 0 + 15x = -6 + 84 15x = -6 + 84 Combine like terms: -6 + 84 = 78 15x = 78 Divide each side by '15'. x = 5.2 Simplifying x = 5.2
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