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Simplifying 10x + 15 = 12x + 35 Reorder the terms: 15 + 10x = 12x + 35 Reorder the terms: 15 + 10x = 35 + 12x Solving 15 + 10x = 35 + 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. 15 + 10x + -12x = 35 + 12x + -12x Combine like terms: 10x + -12x = -2x 15 + -2x = 35 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + -2x = 35 + 0 15 + -2x = 35 Add '-15' to each side of the equation. 15 + -15 + -2x = 35 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 35 + -15 -2x = 35 + -15 Combine like terms: 35 + -15 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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