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Simplifying 8x + -1(x + -4) = -6(x + -4) Reorder the terms: 8x + -1(-4 + x) = -6(x + -4) 8x + (-4 * -1 + x * -1) = -6(x + -4) 8x + (4 + -1x) = -6(x + -4) Reorder the terms: 4 + 8x + -1x = -6(x + -4) Combine like terms: 8x + -1x = 7x 4 + 7x = -6(x + -4) Reorder the terms: 4 + 7x = -6(-4 + x) 4 + 7x = (-4 * -6 + x * -6) 4 + 7x = (24 + -6x) Solving 4 + 7x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + 7x + 6x = 24 + -6x + 6x Combine like terms: 7x + 6x = 13x 4 + 13x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 13x = 24 + 0 4 + 13x = 24 Add '-4' to each side of the equation. 4 + -4 + 13x = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 24 + -4 13x = 24 + -4 Combine like terms: 24 + -4 = 20 13x = 20 Divide each side by '13'. x = 1.538461538 Simplifying x = 1.538461538
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