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Simplifying 7 + -3(2x + -5) = 5(2x + -9) + -15 Reorder the terms: 7 + -3(-5 + 2x) = 5(2x + -9) + -15 7 + (-5 * -3 + 2x * -3) = 5(2x + -9) + -15 7 + (15 + -6x) = 5(2x + -9) + -15 Combine like terms: 7 + 15 = 22 22 + -6x = 5(2x + -9) + -15 Reorder the terms: 22 + -6x = 5(-9 + 2x) + -15 22 + -6x = (-9 * 5 + 2x * 5) + -15 22 + -6x = (-45 + 10x) + -15 Reorder the terms: 22 + -6x = -45 + -15 + 10x Combine like terms: -45 + -15 = -60 22 + -6x = -60 + 10x Solving 22 + -6x = -60 + 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. 22 + -6x + -10x = -60 + 10x + -10x Combine like terms: -6x + -10x = -16x 22 + -16x = -60 + 10x + -10x Combine like terms: 10x + -10x = 0 22 + -16x = -60 + 0 22 + -16x = -60 Add '-22' to each side of the equation. 22 + -22 + -16x = -60 + -22 Combine like terms: 22 + -22 = 0 0 + -16x = -60 + -22 -16x = -60 + -22 Combine like terms: -60 + -22 = -82 -16x = -82 Divide each side by '-16'. x = 5.125 Simplifying x = 5.125
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