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Simplifying -5(2x + -9) = 2(3x + 12) Reorder the terms: -5(-9 + 2x) = 2(3x + 12) (-9 * -5 + 2x * -5) = 2(3x + 12) (45 + -10x) = 2(3x + 12) Reorder the terms: 45 + -10x = 2(12 + 3x) 45 + -10x = (12 * 2 + 3x * 2) 45 + -10x = (24 + 6x) Solving 45 + -10x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + -10x + -6x = 24 + 6x + -6x Combine like terms: -10x + -6x = -16x 45 + -16x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -16x = 24 + 0 45 + -16x = 24 Add '-45' to each side of the equation. 45 + -45 + -16x = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -16x = 24 + -45 -16x = 24 + -45 Combine like terms: 24 + -45 = -21 -16x = -21 Divide each side by '-16'. x = 1.3125 Simplifying x = 1.3125
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