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Simplifying 4(2x + 7) = 8(-12 + 9x) Reorder the terms: 4(7 + 2x) = 8(-12 + 9x) (7 * 4 + 2x * 4) = 8(-12 + 9x) (28 + 8x) = 8(-12 + 9x) 28 + 8x = (-12 * 8 + 9x * 8) 28 + 8x = (-96 + 72x) Solving 28 + 8x = -96 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 28 + 8x + -72x = -96 + 72x + -72x Combine like terms: 8x + -72x = -64x 28 + -64x = -96 + 72x + -72x Combine like terms: 72x + -72x = 0 28 + -64x = -96 + 0 28 + -64x = -96 Add '-28' to each side of the equation. 28 + -28 + -64x = -96 + -28 Combine like terms: 28 + -28 = 0 0 + -64x = -96 + -28 -64x = -96 + -28 Combine like terms: -96 + -28 = -124 -64x = -124 Divide each side by '-64'. x = 1.9375 Simplifying x = 1.9375
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