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Simplifying 7x + 12 = 10x + 15 Reorder the terms: 12 + 7x = 10x + 15 Reorder the terms: 12 + 7x = 15 + 10x Solving 12 + 7x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 7x + -10x = 15 + 10x + -10x Combine like terms: 7x + -10x = -3x 12 + -3x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -3x = 15 + 0 12 + -3x = 15 Add '-12' to each side of the equation. 12 + -12 + -3x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 15 + -12 -3x = 15 + -12 Combine like terms: 15 + -12 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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