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Simplifying 5(x + -9) = 2(2x + -3) Reorder the terms: 5(-9 + x) = 2(2x + -3) (-9 * 5 + x * 5) = 2(2x + -3) (-45 + 5x) = 2(2x + -3) Reorder the terms: -45 + 5x = 2(-3 + 2x) -45 + 5x = (-3 * 2 + 2x * 2) -45 + 5x = (-6 + 4x) Solving -45 + 5x = -6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -45 + 5x + -4x = -6 + 4x + -4x Combine like terms: 5x + -4x = 1x -45 + 1x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 1x = -6 + 0 -45 + 1x = -6 Add '45' to each side of the equation. -45 + 45 + 1x = -6 + 45 Combine like terms: -45 + 45 = 0 0 + 1x = -6 + 45 1x = -6 + 45 Combine like terms: -6 + 45 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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