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Simplifying 5(x + -3) + -1(x + -5) = x + -1 + 1 + 2x Reorder the terms: 5(-3 + x) + -1(x + -5) = x + -1 + 1 + 2x (-3 * 5 + x * 5) + -1(x + -5) = x + -1 + 1 + 2x (-15 + 5x) + -1(x + -5) = x + -1 + 1 + 2x Reorder the terms: -15 + 5x + -1(-5 + x) = x + -1 + 1 + 2x -15 + 5x + (-5 * -1 + x * -1) = x + -1 + 1 + 2x -15 + 5x + (5 + -1x) = x + -1 + 1 + 2x Reorder the terms: -15 + 5 + 5x + -1x = x + -1 + 1 + 2x Combine like terms: -15 + 5 = -10 -10 + 5x + -1x = x + -1 + 1 + 2x Combine like terms: 5x + -1x = 4x -10 + 4x = x + -1 + 1 + 2x Reorder the terms: -10 + 4x = -1 + 1 + x + 2x Combine like terms: -1 + 1 = 0 -10 + 4x = 0 + x + 2x -10 + 4x = x + 2x Combine like terms: x + 2x = 3x -10 + 4x = 3x Solving -10 + 4x = 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. -10 + 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x -10 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 1x = 0 Add '10' to each side of the equation. -10 + 10 + 1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 0 + 10 1x = 0 + 10 Combine like terms: 0 + 10 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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