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Simplifying (5x + -7) + (5x + -7) = 12x Reorder the terms: (-7 + 5x) + (5x + -7) = 12x Remove parenthesis around (-7 + 5x) -7 + 5x + (5x + -7) = 12x Reorder the terms: -7 + 5x + (-7 + 5x) = 12x Remove parenthesis around (-7 + 5x) -7 + 5x + -7 + 5x = 12x Reorder the terms: -7 + -7 + 5x + 5x = 12x Combine like terms: -7 + -7 = -14 -14 + 5x + 5x = 12x Combine like terms: 5x + 5x = 10x -14 + 10x = 12x Solving -14 + 10x = 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. -14 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x -14 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 -14 + -2x = 0 Add '14' to each side of the equation. -14 + 14 + -2x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 0 + 14 -2x = 0 + 14 Combine like terms: 0 + 14 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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