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Simplifying 5(x + -9) = 3(x + -7) Reorder the terms: 5(-9 + x) = 3(x + -7) (-9 * 5 + x * 5) = 3(x + -7) (-45 + 5x) = 3(x + -7) Reorder the terms: -45 + 5x = 3(-7 + x) -45 + 5x = (-7 * 3 + x * 3) -45 + 5x = (-21 + 3x) Solving -45 + 5x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -45 + 5x + -3x = -21 + 3x + -3x Combine like terms: 5x + -3x = 2x -45 + 2x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -45 + 2x = -21 + 0 -45 + 2x = -21 Add '45' to each side of the equation. -45 + 45 + 2x = -21 + 45 Combine like terms: -45 + 45 = 0 0 + 2x = -21 + 45 2x = -21 + 45 Combine like terms: -21 + 45 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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