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Simplifying 5(x + 4) + -8 = 7(x + -2) Reorder the terms: 5(4 + x) + -8 = 7(x + -2) (4 * 5 + x * 5) + -8 = 7(x + -2) (20 + 5x) + -8 = 7(x + -2) Reorder the terms: 20 + -8 + 5x = 7(x + -2) Combine like terms: 20 + -8 = 12 12 + 5x = 7(x + -2) Reorder the terms: 12 + 5x = 7(-2 + x) 12 + 5x = (-2 * 7 + x * 7) 12 + 5x = (-14 + 7x) Solving 12 + 5x = -14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 5x + -7x = -14 + 7x + -7x Combine like terms: 5x + -7x = -2x 12 + -2x = -14 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -2x = -14 + 0 12 + -2x = -14 Add '-12' to each side of the equation. 12 + -12 + -2x = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = -14 + -12 -2x = -14 + -12 Combine like terms: -14 + -12 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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