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Simplifying 7x + 15 = 10x + 12 Reorder the terms: 15 + 7x = 10x + 12 Reorder the terms: 15 + 7x = 12 + 10x Solving 15 + 7x = 12 + 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. 15 + 7x + -10x = 12 + 10x + -10x Combine like terms: 7x + -10x = -3x 15 + -3x = 12 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + -3x = 12 + 0 15 + -3x = 12 Add '-15' to each side of the equation. 15 + -15 + -3x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 12 + -15 -3x = 12 + -15 Combine like terms: 12 + -15 = -3 -3x = -3 Divide each side by '-3'. x = 1 Simplifying x = 1
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