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Simplifying 6x + -1(4 + -7x) = 5(x + 6) + -8 6x + (4 * -1 + -7x * -1) = 5(x + 6) + -8 6x + (-4 + 7x) = 5(x + 6) + -8 Reorder the terms: -4 + 6x + 7x = 5(x + 6) + -8 Combine like terms: 6x + 7x = 13x -4 + 13x = 5(x + 6) + -8 Reorder the terms: -4 + 13x = 5(6 + x) + -8 -4 + 13x = (6 * 5 + x * 5) + -8 -4 + 13x = (30 + 5x) + -8 Reorder the terms: -4 + 13x = 30 + -8 + 5x Combine like terms: 30 + -8 = 22 -4 + 13x = 22 + 5x Solving -4 + 13x = 22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 13x + -5x = 22 + 5x + -5x Combine like terms: 13x + -5x = 8x -4 + 8x = 22 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 8x = 22 + 0 -4 + 8x = 22 Add '4' to each side of the equation. -4 + 4 + 8x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 22 + 4 8x = 22 + 4 Combine like terms: 22 + 4 = 26 8x = 26 Divide each side by '8'. x = 3.25 Simplifying x = 3.25
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