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Simplifying 9(2x + -8) = 5x + -7 Reorder the terms: 9(-8 + 2x) = 5x + -7 (-8 * 9 + 2x * 9) = 5x + -7 (-72 + 18x) = 5x + -7 Reorder the terms: -72 + 18x = -7 + 5x Solving -72 + 18x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -72 + 18x + -5x = -7 + 5x + -5x Combine like terms: 18x + -5x = 13x -72 + 13x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 13x = -7 + 0 -72 + 13x = -7 Add '72' to each side of the equation. -72 + 72 + 13x = -7 + 72 Combine like terms: -72 + 72 = 0 0 + 13x = -7 + 72 13x = -7 + 72 Combine like terms: -7 + 72 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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