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Simplifying 8(4x + 7) = 2(6 + -16x) Reorder the terms: 8(7 + 4x) = 2(6 + -16x) (7 * 8 + 4x * 8) = 2(6 + -16x) (56 + 32x) = 2(6 + -16x) 56 + 32x = (6 * 2 + -16x * 2) 56 + 32x = (12 + -32x) Solving 56 + 32x = 12 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 56 + 32x + 32x = 12 + -32x + 32x Combine like terms: 32x + 32x = 64x 56 + 64x = 12 + -32x + 32x Combine like terms: -32x + 32x = 0 56 + 64x = 12 + 0 56 + 64x = 12 Add '-56' to each side of the equation. 56 + -56 + 64x = 12 + -56 Combine like terms: 56 + -56 = 0 0 + 64x = 12 + -56 64x = 12 + -56 Combine like terms: 12 + -56 = -44 64x = -44 Divide each side by '64'. x = -0.6875 Simplifying x = -0.6875
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