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Simplifying 8(4 + 2x) = 4(3 + -5x) + 4x (4 * 8 + 2x * 8) = 4(3 + -5x) + 4x (32 + 16x) = 4(3 + -5x) + 4x 32 + 16x = (3 * 4 + -5x * 4) + 4x 32 + 16x = (12 + -20x) + 4x Combine like terms: -20x + 4x = -16x 32 + 16x = 12 + -16x Solving 32 + 16x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 32 + 16x + 16x = 12 + -16x + 16x Combine like terms: 16x + 16x = 32x 32 + 32x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 32 + 32x = 12 + 0 32 + 32x = 12 Add '-32' to each side of the equation. 32 + -32 + 32x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 32x = 12 + -32 32x = 12 + -32 Combine like terms: 12 + -32 = -20 32x = -20 Divide each side by '32'. x = -0.625 Simplifying x = -0.625
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