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