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Simplifying 45 + -5x = 30 + 10x Solving 45 + -5x = 30 + 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 + -5x + -10x = 30 + 10x + -10x Combine like terms: -5x + -10x = -15x 45 + -15x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 45 + -15x = 30 + 0 45 + -15x = 30 Add '-45' to each side of the equation. 45 + -45 + -15x = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -15x = 30 + -45 -15x = 30 + -45 Combine like terms: 30 + -45 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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