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Simplifying 4(1 + -7x) = 8(4x + 1) (1 * 4 + -7x * 4) = 8(4x + 1) (4 + -28x) = 8(4x + 1) Reorder the terms: 4 + -28x = 8(1 + 4x) 4 + -28x = (1 * 8 + 4x * 8) 4 + -28x = (8 + 32x) Solving 4 + -28x = 8 + 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. 4 + -28x + -32x = 8 + 32x + -32x Combine like terms: -28x + -32x = -60x 4 + -60x = 8 + 32x + -32x Combine like terms: 32x + -32x = 0 4 + -60x = 8 + 0 4 + -60x = 8 Add '-4' to each side of the equation. 4 + -4 + -60x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -60x = 8 + -4 -60x = 8 + -4 Combine like terms: 8 + -4 = 4 -60x = 4 Divide each side by '-60'. x = -0.06666666667 Simplifying x = -0.06666666667
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