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Simplifying 2(x + -5) = 4x + -5(x + 5) Reorder the terms: 2(-5 + x) = 4x + -5(x + 5) (-5 * 2 + x * 2) = 4x + -5(x + 5) (-10 + 2x) = 4x + -5(x + 5) Reorder the terms: -10 + 2x = 4x + -5(5 + x) -10 + 2x = 4x + (5 * -5 + x * -5) -10 + 2x = 4x + (-25 + -5x) Reorder the terms: -10 + 2x = -25 + 4x + -5x Combine like terms: 4x + -5x = -1x -10 + 2x = -25 + -1x Solving -10 + 2x = -25 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 2x + x = -25 + -1x + x Combine like terms: 2x + x = 3x -10 + 3x = -25 + -1x + x Combine like terms: -1x + x = 0 -10 + 3x = -25 + 0 -10 + 3x = -25 Add '10' to each side of the equation. -10 + 10 + 3x = -25 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -25 + 10 3x = -25 + 10 Combine like terms: -25 + 10 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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