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Simplifying 9(2x + -5) = 2(5x + 7) Reorder the terms: 9(-5 + 2x) = 2(5x + 7) (-5 * 9 + 2x * 9) = 2(5x + 7) (-45 + 18x) = 2(5x + 7) Reorder the terms: -45 + 18x = 2(7 + 5x) -45 + 18x = (7 * 2 + 5x * 2) -45 + 18x = (14 + 10x) Solving -45 + 18x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -45 + 18x + -10x = 14 + 10x + -10x Combine like terms: 18x + -10x = 8x -45 + 8x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 -45 + 8x = 14 + 0 -45 + 8x = 14 Add '45' to each side of the equation. -45 + 45 + 8x = 14 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 14 + 45 8x = 14 + 45 Combine like terms: 14 + 45 = 59 8x = 59 Divide each side by '8'. x = 7.375 Simplifying x = 7.375
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