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Simplifying 2(x + -5) + 5 = 2x + -5(5 + -1x) Reorder the terms: 2(-5 + x) + 5 = 2x + -5(5 + -1x) (-5 * 2 + x * 2) + 5 = 2x + -5(5 + -1x) (-10 + 2x) + 5 = 2x + -5(5 + -1x) Reorder the terms: -10 + 5 + 2x = 2x + -5(5 + -1x) Combine like terms: -10 + 5 = -5 -5 + 2x = 2x + -5(5 + -1x) -5 + 2x = 2x + (5 * -5 + -1x * -5) -5 + 2x = 2x + (-25 + 5x) Reorder the terms: -5 + 2x = -25 + 2x + 5x Combine like terms: 2x + 5x = 7x -5 + 2x = -25 + 7x Solving -5 + 2x = -25 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 2x + -7x = -25 + 7x + -7x Combine like terms: 2x + -7x = -5x -5 + -5x = -25 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -5x = -25 + 0 -5 + -5x = -25 Add '5' to each side of the equation. -5 + 5 + -5x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -25 + 5 -5x = -25 + 5 Combine like terms: -25 + 5 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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