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Simplifying 7(x + 12) = 9(x + -4) Reorder the terms: 7(12 + x) = 9(x + -4) (12 * 7 + x * 7) = 9(x + -4) (84 + 7x) = 9(x + -4) Reorder the terms: 84 + 7x = 9(-4 + x) 84 + 7x = (-4 * 9 + x * 9) 84 + 7x = (-36 + 9x) Solving 84 + 7x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 84 + 7x + -9x = -36 + 9x + -9x Combine like terms: 7x + -9x = -2x 84 + -2x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 84 + -2x = -36 + 0 84 + -2x = -36 Add '-84' to each side of the equation. 84 + -84 + -2x = -36 + -84 Combine like terms: 84 + -84 = 0 0 + -2x = -36 + -84 -2x = -36 + -84 Combine like terms: -36 + -84 = -120 -2x = -120 Divide each side by '-2'. x = 60 Simplifying x = 60
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