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Simplifying 45 + -15x = 15 + -10x Solving 45 + -15x = 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. 45 + -15x + 10x = 15 + -10x + 10x Combine like terms: -15x + 10x = -5x 45 + -5x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 45 + -5x = 15 + 0 45 + -5x = 15 Add '-45' to each side of the equation. 45 + -45 + -5x = 15 + -45 Combine like terms: 45 + -45 = 0 0 + -5x = 15 + -45 -5x = 15 + -45 Combine like terms: 15 + -45 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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