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Simplifying 5(3 + -1x) = 45 + -10x (3 * 5 + -1x * 5) = 45 + -10x (15 + -5x) = 45 + -10x Solving 15 + -5x = 45 + -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. 15 + -5x + 10x = 45 + -10x + 10x Combine like terms: -5x + 10x = 5x 15 + 5x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 15 + 5x = 45 + 0 15 + 5x = 45 Add '-15' to each side of the equation. 15 + -15 + 5x = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 45 + -15 5x = 45 + -15 Combine like terms: 45 + -15 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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