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Simplifying 5(2x + -5) + 50 = 3(x + -5) + 2x Reorder the terms: 5(-5 + 2x) + 50 = 3(x + -5) + 2x (-5 * 5 + 2x * 5) + 50 = 3(x + -5) + 2x (-25 + 10x) + 50 = 3(x + -5) + 2x Reorder the terms: -25 + 50 + 10x = 3(x + -5) + 2x Combine like terms: -25 + 50 = 25 25 + 10x = 3(x + -5) + 2x Reorder the terms: 25 + 10x = 3(-5 + x) + 2x 25 + 10x = (-5 * 3 + x * 3) + 2x 25 + 10x = (-15 + 3x) + 2x Combine like terms: 3x + 2x = 5x 25 + 10x = -15 + 5x Solving 25 + 10x = -15 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 25 + 10x + -5x = -15 + 5x + -5x Combine like terms: 10x + -5x = 5x 25 + 5x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + 5x = -15 + 0 25 + 5x = -15 Add '-25' to each side of the equation. 25 + -25 + 5x = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = -15 + -25 5x = -15 + -25 Combine like terms: -15 + -25 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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