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Simplifying 7(x + -8) = x + -5(x + -2) Reorder the terms: 7(-8 + x) = x + -5(x + -2) (-8 * 7 + x * 7) = x + -5(x + -2) (-56 + 7x) = x + -5(x + -2) Reorder the terms: -56 + 7x = x + -5(-2 + x) -56 + 7x = x + (-2 * -5 + x * -5) -56 + 7x = x + (10 + -5x) Reorder the terms: -56 + 7x = 10 + x + -5x Combine like terms: x + -5x = -4x -56 + 7x = 10 + -4x Solving -56 + 7x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -56 + 7x + 4x = 10 + -4x + 4x Combine like terms: 7x + 4x = 11x -56 + 11x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -56 + 11x = 10 + 0 -56 + 11x = 10 Add '56' to each side of the equation. -56 + 56 + 11x = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 11x = 10 + 56 11x = 10 + 56 Combine like terms: 10 + 56 = 66 11x = 66 Divide each side by '11'. x = 6 Simplifying x = 6
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