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