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Simplifying 7(x + 5) + -4 = 12(x + -7) Reorder the terms: 7(5 + x) + -4 = 12(x + -7) (5 * 7 + x * 7) + -4 = 12(x + -7) (35 + 7x) + -4 = 12(x + -7) Reorder the terms: 35 + -4 + 7x = 12(x + -7) Combine like terms: 35 + -4 = 31 31 + 7x = 12(x + -7) Reorder the terms: 31 + 7x = 12(-7 + x) 31 + 7x = (-7 * 12 + x * 12) 31 + 7x = (-84 + 12x) Solving 31 + 7x = -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. 31 + 7x + -12x = -84 + 12x + -12x Combine like terms: 7x + -12x = -5x 31 + -5x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 31 + -5x = -84 + 0 31 + -5x = -84 Add '-31' to each side of the equation. 31 + -31 + -5x = -84 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = -84 + -31 -5x = -84 + -31 Combine like terms: -84 + -31 = -115 -5x = -115 Divide each side by '-5'. x = 23 Simplifying x = 23
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