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Simplifying 3(x + -5) + -5(x + -3) = (x + 7) + -1(x + -7) Reorder the terms: 3(-5 + x) + -5(x + -3) = (x + 7) + -1(x + -7) (-5 * 3 + x * 3) + -5(x + -3) = (x + 7) + -1(x + -7) (-15 + 3x) + -5(x + -3) = (x + 7) + -1(x + -7) Reorder the terms: -15 + 3x + -5(-3 + x) = (x + 7) + -1(x + -7) -15 + 3x + (-3 * -5 + x * -5) = (x + 7) + -1(x + -7) -15 + 3x + (15 + -5x) = (x + 7) + -1(x + -7) Reorder the terms: -15 + 15 + 3x + -5x = (x + 7) + -1(x + -7) Combine like terms: -15 + 15 = 0 0 + 3x + -5x = (x + 7) + -1(x + -7) 3x + -5x = (x + 7) + -1(x + -7) Combine like terms: 3x + -5x = -2x -2x = (x + 7) + -1(x + -7) Reorder the terms: -2x = (7 + x) + -1(x + -7) Remove parenthesis around (7 + x) -2x = 7 + x + -1(x + -7) Reorder the terms: -2x = 7 + x + -1(-7 + x) -2x = 7 + x + (-7 * -1 + x * -1) -2x = 7 + x + (7 + -1x) Reorder the terms: -2x = 7 + 7 + x + -1x Combine like terms: 7 + 7 = 14 -2x = 14 + x + -1x Combine like terms: x + -1x = 0 -2x = 14 + 0 -2x = 14 Solving -2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-2'. x = -7 Simplifying x = -7
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