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Simplifying (x + 6) * 16 = 30(2x + -4) Reorder the terms: (6 + x) * 16 = 30(2x + -4) Reorder the terms for easier multiplication: 16(6 + x) = 30(2x + -4) (6 * 16 + x * 16) = 30(2x + -4) (96 + 16x) = 30(2x + -4) Reorder the terms: 96 + 16x = 30(-4 + 2x) 96 + 16x = (-4 * 30 + 2x * 30) 96 + 16x = (-120 + 60x) Solving 96 + 16x = -120 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 96 + 16x + -60x = -120 + 60x + -60x Combine like terms: 16x + -60x = -44x 96 + -44x = -120 + 60x + -60x Combine like terms: 60x + -60x = 0 96 + -44x = -120 + 0 96 + -44x = -120 Add '-96' to each side of the equation. 96 + -96 + -44x = -120 + -96 Combine like terms: 96 + -96 = 0 0 + -44x = -120 + -96 -44x = -120 + -96 Combine like terms: -120 + -96 = -216 -44x = -216 Divide each side by '-44'. x = 4.909090909 Simplifying x = 4.909090909
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