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Simplifying 7(x + -8) = 2(x + -13) Reorder the terms: 7(-8 + x) = 2(x + -13) (-8 * 7 + x * 7) = 2(x + -13) (-56 + 7x) = 2(x + -13) Reorder the terms: -56 + 7x = 2(-13 + x) -56 + 7x = (-13 * 2 + x * 2) -56 + 7x = (-26 + 2x) Solving -56 + 7x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -56 + 7x + -2x = -26 + 2x + -2x Combine like terms: 7x + -2x = 5x -56 + 5x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -56 + 5x = -26 + 0 -56 + 5x = -26 Add '56' to each side of the equation. -56 + 56 + 5x = -26 + 56 Combine like terms: -56 + 56 = 0 0 + 5x = -26 + 56 5x = -26 + 56 Combine like terms: -26 + 56 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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