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Simplifying 10(x + -5) + 25 = 10x + -5(10 + -1x) Reorder the terms: 10(-5 + x) + 25 = 10x + -5(10 + -1x) (-5 * 10 + x * 10) + 25 = 10x + -5(10 + -1x) (-50 + 10x) + 25 = 10x + -5(10 + -1x) Reorder the terms: -50 + 25 + 10x = 10x + -5(10 + -1x) Combine like terms: -50 + 25 = -25 -25 + 10x = 10x + -5(10 + -1x) -25 + 10x = 10x + (10 * -5 + -1x * -5) -25 + 10x = 10x + (-50 + 5x) Reorder the terms: -25 + 10x = -50 + 10x + 5x Combine like terms: 10x + 5x = 15x -25 + 10x = -50 + 15x Solving -25 + 10x = -50 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -25 + 10x + -15x = -50 + 15x + -15x Combine like terms: 10x + -15x = -5x -25 + -5x = -50 + 15x + -15x Combine like terms: 15x + -15x = 0 -25 + -5x = -50 + 0 -25 + -5x = -50 Add '25' to each side of the equation. -25 + 25 + -5x = -50 + 25 Combine like terms: -25 + 25 = 0 0 + -5x = -50 + 25 -5x = -50 + 25 Combine like terms: -50 + 25 = -25 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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