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Simplifying 4(5 + -2x) = 8(3x + 1) (5 * 4 + -2x * 4) = 8(3x + 1) (20 + -8x) = 8(3x + 1) Reorder the terms: 20 + -8x = 8(1 + 3x) 20 + -8x = (1 * 8 + 3x * 8) 20 + -8x = (8 + 24x) Solving 20 + -8x = 8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 20 + -8x + -24x = 8 + 24x + -24x Combine like terms: -8x + -24x = -32x 20 + -32x = 8 + 24x + -24x Combine like terms: 24x + -24x = 0 20 + -32x = 8 + 0 20 + -32x = 8 Add '-20' to each side of the equation. 20 + -20 + -32x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -32x = 8 + -20 -32x = 8 + -20 Combine like terms: 8 + -20 = -12 -32x = -12 Divide each side by '-32'. x = 0.375 Simplifying x = 0.375
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