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Simplifying 7(x + -8) = -3(x + -8) Reorder the terms: 7(-8 + x) = -3(x + -8) (-8 * 7 + x * 7) = -3(x + -8) (-56 + 7x) = -3(x + -8) Reorder the terms: -56 + 7x = -3(-8 + x) -56 + 7x = (-8 * -3 + x * -3) -56 + 7x = (24 + -3x) Solving -56 + 7x = 24 + -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. -56 + 7x + 3x = 24 + -3x + 3x Combine like terms: 7x + 3x = 10x -56 + 10x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -56 + 10x = 24 + 0 -56 + 10x = 24 Add '56' to each side of the equation. -56 + 56 + 10x = 24 + 56 Combine like terms: -56 + 56 = 0 0 + 10x = 24 + 56 10x = 24 + 56 Combine like terms: 24 + 56 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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