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Simplifying 3(1 + -4x) = 8x + -4(6x + -5) (1 * 3 + -4x * 3) = 8x + -4(6x + -5) (3 + -12x) = 8x + -4(6x + -5) Reorder the terms: 3 + -12x = 8x + -4(-5 + 6x) 3 + -12x = 8x + (-5 * -4 + 6x * -4) 3 + -12x = 8x + (20 + -24x) Reorder the terms: 3 + -12x = 20 + 8x + -24x Combine like terms: 8x + -24x = -16x 3 + -12x = 20 + -16x Solving 3 + -12x = 20 + -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. 3 + -12x + 16x = 20 + -16x + 16x Combine like terms: -12x + 16x = 4x 3 + 4x = 20 + -16x + 16x Combine like terms: -16x + 16x = 0 3 + 4x = 20 + 0 3 + 4x = 20 Add '-3' to each side of the equation. 3 + -3 + 4x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 20 + -3 4x = 20 + -3 Combine like terms: 20 + -3 = 17 4x = 17 Divide each side by '4'. x = 4.25 Simplifying x = 4.25
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