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Simplifying 45 + -10x = 10 + -15x Solving 45 + -10x = 10 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 45 + -10x + 15x = 10 + -15x + 15x Combine like terms: -10x + 15x = 5x 45 + 5x = 10 + -15x + 15x Combine like terms: -15x + 15x = 0 45 + 5x = 10 + 0 45 + 5x = 10 Add '-45' to each side of the equation. 45 + -45 + 5x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 10 + -45 5x = 10 + -45 Combine like terms: 10 + -45 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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