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Simplifying -5(x + -4) + 10 = 45 + -10x Reorder the terms: -5(-4 + x) + 10 = 45 + -10x (-4 * -5 + x * -5) + 10 = 45 + -10x (20 + -5x) + 10 = 45 + -10x Reorder the terms: 20 + 10 + -5x = 45 + -10x Combine like terms: 20 + 10 = 30 30 + -5x = 45 + -10x Solving 30 + -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. 30 + -5x + 10x = 45 + -10x + 10x Combine like terms: -5x + 10x = 5x 30 + 5x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 30 + 5x = 45 + 0 30 + 5x = 45 Add '-30' to each side of the equation. 30 + -30 + 5x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 45 + -30 5x = 45 + -30 Combine like terms: 45 + -30 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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