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Simplifying 7(x + -8) = 7(6 + -1x) + 8 Reorder the terms: 7(-8 + x) = 7(6 + -1x) + 8 (-8 * 7 + x * 7) = 7(6 + -1x) + 8 (-56 + 7x) = 7(6 + -1x) + 8 -56 + 7x = (6 * 7 + -1x * 7) + 8 -56 + 7x = (42 + -7x) + 8 Reorder the terms: -56 + 7x = 42 + 8 + -7x Combine like terms: 42 + 8 = 50 -56 + 7x = 50 + -7x Solving -56 + 7x = 50 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -56 + 7x + 7x = 50 + -7x + 7x Combine like terms: 7x + 7x = 14x -56 + 14x = 50 + -7x + 7x Combine like terms: -7x + 7x = 0 -56 + 14x = 50 + 0 -56 + 14x = 50 Add '56' to each side of the equation. -56 + 56 + 14x = 50 + 56 Combine like terms: -56 + 56 = 0 0 + 14x = 50 + 56 14x = 50 + 56 Combine like terms: 50 + 56 = 106 14x = 106 Divide each side by '14'. x = 7.571428571 Simplifying x = 7.571428571
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