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Simplifying 5(x + -9) = 2(x + 7) Reorder the terms: 5(-9 + x) = 2(x + 7) (-9 * 5 + x * 5) = 2(x + 7) (-45 + 5x) = 2(x + 7) Reorder the terms: -45 + 5x = 2(7 + x) -45 + 5x = (7 * 2 + x * 2) -45 + 5x = (14 + 2x) Solving -45 + 5x = 14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -45 + 5x + -2x = 14 + 2x + -2x Combine like terms: 5x + -2x = 3x -45 + 3x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -45 + 3x = 14 + 0 -45 + 3x = 14 Add '45' to each side of the equation. -45 + 45 + 3x = 14 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 14 + 45 3x = 14 + 45 Combine like terms: 14 + 45 = 59 3x = 59 Divide each side by '3'. x = 19.66666667 Simplifying x = 19.66666667
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