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Simplifying 7(2x + 4) = 8(8x + 8) + 7 Reorder the terms: 7(4 + 2x) = 8(8x + 8) + 7 (4 * 7 + 2x * 7) = 8(8x + 8) + 7 (28 + 14x) = 8(8x + 8) + 7 Reorder the terms: 28 + 14x = 8(8 + 8x) + 7 28 + 14x = (8 * 8 + 8x * 8) + 7 28 + 14x = (64 + 64x) + 7 Reorder the terms: 28 + 14x = 64 + 7 + 64x Combine like terms: 64 + 7 = 71 28 + 14x = 71 + 64x Solving 28 + 14x = 71 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 28 + 14x + -64x = 71 + 64x + -64x Combine like terms: 14x + -64x = -50x 28 + -50x = 71 + 64x + -64x Combine like terms: 64x + -64x = 0 28 + -50x = 71 + 0 28 + -50x = 71 Add '-28' to each side of the equation. 28 + -28 + -50x = 71 + -28 Combine like terms: 28 + -28 = 0 0 + -50x = 71 + -28 -50x = 71 + -28 Combine like terms: 71 + -28 = 43 -50x = 43 Divide each side by '-50'. x = -0.86 Simplifying x = -0.86
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