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Simplifying 10x + 45 = 12x + 15 Reorder the terms: 45 + 10x = 12x + 15 Reorder the terms: 45 + 10x = 15 + 12x Solving 45 + 10x = 15 + 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. 45 + 10x + -12x = 15 + 12x + -12x Combine like terms: 10x + -12x = -2x 45 + -2x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + -2x = 15 + 0 45 + -2x = 15 Add '-45' to each side of the equation. 45 + -45 + -2x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 15 + -45 -2x = 15 + -45 Combine like terms: 15 + -45 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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