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Simplifying 10 + -5x = 12x + -7 Reorder the terms: 10 + -5x = -7 + 12x Solving 10 + -5x = -7 + 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. 10 + -5x + -12x = -7 + 12x + -12x Combine like terms: -5x + -12x = -17x 10 + -17x = -7 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -17x = -7 + 0 10 + -17x = -7 Add '-10' to each side of the equation. 10 + -10 + -17x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -17x = -7 + -10 -17x = -7 + -10 Combine like terms: -7 + -10 = -17 -17x = -17 Divide each side by '-17'. x = 1 Simplifying x = 1
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