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Simplifying 5(2x + 7) = 9(2x + -5) Reorder the terms: 5(7 + 2x) = 9(2x + -5) (7 * 5 + 2x * 5) = 9(2x + -5) (35 + 10x) = 9(2x + -5) Reorder the terms: 35 + 10x = 9(-5 + 2x) 35 + 10x = (-5 * 9 + 2x * 9) 35 + 10x = (-45 + 18x) Solving 35 + 10x = -45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 35 + 10x + -18x = -45 + 18x + -18x Combine like terms: 10x + -18x = -8x 35 + -8x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 35 + -8x = -45 + 0 35 + -8x = -45 Add '-35' to each side of the equation. 35 + -35 + -8x = -45 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -45 + -35 -8x = -45 + -35 Combine like terms: -45 + -35 = -80 -8x = -80 Divide each side by '-8'. x = 10 Simplifying x = 10
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