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Simplifying 2(x + -5) + -1(5x + -5) = x + -15 Reorder the terms: 2(-5 + x) + -1(5x + -5) = x + -15 (-5 * 2 + x * 2) + -1(5x + -5) = x + -15 (-10 + 2x) + -1(5x + -5) = x + -15 Reorder the terms: -10 + 2x + -1(-5 + 5x) = x + -15 -10 + 2x + (-5 * -1 + 5x * -1) = x + -15 -10 + 2x + (5 + -5x) = x + -15 Reorder the terms: -10 + 5 + 2x + -5x = x + -15 Combine like terms: -10 + 5 = -5 -5 + 2x + -5x = x + -15 Combine like terms: 2x + -5x = -3x -5 + -3x = x + -15 Reorder the terms: -5 + -3x = -15 + x Solving -5 + -3x = -15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -5 + -3x + -1x = -15 + x + -1x Combine like terms: -3x + -1x = -4x -5 + -4x = -15 + x + -1x Combine like terms: x + -1x = 0 -5 + -4x = -15 + 0 -5 + -4x = -15 Add '5' to each side of the equation. -5 + 5 + -4x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -15 + 5 -4x = -15 + 5 Combine like terms: -15 + 5 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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