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Simplifying 3(x + -5) + -5(x + -3) = x + 5 + -1(x + -1) Reorder the terms: 3(-5 + x) + -5(x + -3) = x + 5 + -1(x + -1) (-5 * 3 + x * 3) + -5(x + -3) = x + 5 + -1(x + -1) (-15 + 3x) + -5(x + -3) = x + 5 + -1(x + -1) Reorder the terms: -15 + 3x + -5(-3 + x) = x + 5 + -1(x + -1) -15 + 3x + (-3 * -5 + x * -5) = x + 5 + -1(x + -1) -15 + 3x + (15 + -5x) = x + 5 + -1(x + -1) Reorder the terms: -15 + 15 + 3x + -5x = x + 5 + -1(x + -1) Combine like terms: -15 + 15 = 0 0 + 3x + -5x = x + 5 + -1(x + -1) 3x + -5x = x + 5 + -1(x + -1) Combine like terms: 3x + -5x = -2x -2x = x + 5 + -1(x + -1) Reorder the terms: -2x = x + 5 + -1(-1 + x) -2x = x + 5 + (-1 * -1 + x * -1) -2x = x + 5 + (1 + -1x) Reorder the terms: -2x = 5 + 1 + x + -1x Combine like terms: 5 + 1 = 6 -2x = 6 + x + -1x Combine like terms: x + -1x = 0 -2x = 6 + 0 -2x = 6 Solving -2x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2'. x = -3 Simplifying x = -3
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