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Simplifying 5(x + -7) = 53 + -1x Reorder the terms: 5(-7 + x) = 53 + -1x (-7 * 5 + x * 5) = 53 + -1x (-35 + 5x) = 53 + -1x Solving -35 + 5x = 53 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + 5x + x = 53 + -1x + x Combine like terms: 5x + x = 6x -35 + 6x = 53 + -1x + x Combine like terms: -1x + x = 0 -35 + 6x = 53 + 0 -35 + 6x = 53 Add '35' to each side of the equation. -35 + 35 + 6x = 53 + 35 Combine like terms: -35 + 35 = 0 0 + 6x = 53 + 35 6x = 53 + 35 Combine like terms: 53 + 35 = 88 6x = 88 Divide each side by '6'. x = 14.66666667 Simplifying x = 14.66666667
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