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Simplifying 45 + -3x = 10x + 2x Combine like terms: 10x + 2x = 12x 45 + -3x = 12x Solving 45 + -3x = 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 + -3x + -12x = 12x + -12x Combine like terms: -3x + -12x = -15x 45 + -15x = 12x + -12x Combine like terms: 12x + -12x = 0 45 + -15x = 0 Add '-45' to each side of the equation. 45 + -45 + -15x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -15x = 0 + -45 -15x = 0 + -45 Combine like terms: 0 + -45 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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