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Simplifying -8x + 4(1 + 5x) = 4(-6x + 4) + -4 -8x + (1 * 4 + 5x * 4) = 4(-6x + 4) + -4 -8x + (4 + 20x) = 4(-6x + 4) + -4 Reorder the terms: 4 + -8x + 20x = 4(-6x + 4) + -4 Combine like terms: -8x + 20x = 12x 4 + 12x = 4(-6x + 4) + -4 Reorder the terms: 4 + 12x = 4(4 + -6x) + -4 4 + 12x = (4 * 4 + -6x * 4) + -4 4 + 12x = (16 + -24x) + -4 Reorder the terms: 4 + 12x = 16 + -4 + -24x Combine like terms: 16 + -4 = 12 4 + 12x = 12 + -24x Solving 4 + 12x = 12 + -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. 4 + 12x + 24x = 12 + -24x + 24x Combine like terms: 12x + 24x = 36x 4 + 36x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 4 + 36x = 12 + 0 4 + 36x = 12 Add '-4' to each side of the equation. 4 + -4 + 36x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 36x = 12 + -4 36x = 12 + -4 Combine like terms: 12 + -4 = 8 36x = 8 Divide each side by '36'. x = 0.2222222222 Simplifying x = 0.2222222222
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