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Simplifying (5x + 10) = (7x + -12) Reorder the terms: (10 + 5x) = (7x + -12) Remove parenthesis around (10 + 5x) 10 + 5x = (7x + -12) Reorder the terms: 10 + 5x = (-12 + 7x) Remove parenthesis around (-12 + 7x) 10 + 5x = -12 + 7x Solving 10 + 5x = -12 + 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. 10 + 5x + -7x = -12 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = -12 + 0 10 + -2x = -12 Add '-10' to each side of the equation. 10 + -10 + -2x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -12 + -10 -2x = -12 + -10 Combine like terms: -12 + -10 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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