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Simplifying 45 + -3x = 10 + -10x Solving 45 + -3x = 10 + -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 + -3x + 10x = 10 + -10x + 10x Combine like terms: -3x + 10x = 7x 45 + 7x = 10 + -10x + 10x Combine like terms: -10x + 10x = 0 45 + 7x = 10 + 0 45 + 7x = 10 Add '-45' to each side of the equation. 45 + -45 + 7x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 7x = 10 + -45 7x = 10 + -45 Combine like terms: 10 + -45 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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