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Simplifying 6x + -1(x + -8) = 2(7 + x) + 6 Reorder the terms: 6x + -1(-8 + x) = 2(7 + x) + 6 6x + (-8 * -1 + x * -1) = 2(7 + x) + 6 6x + (8 + -1x) = 2(7 + x) + 6 Reorder the terms: 8 + 6x + -1x = 2(7 + x) + 6 Combine like terms: 6x + -1x = 5x 8 + 5x = 2(7 + x) + 6 8 + 5x = (7 * 2 + x * 2) + 6 8 + 5x = (14 + 2x) + 6 Reorder the terms: 8 + 5x = 14 + 6 + 2x Combine like terms: 14 + 6 = 20 8 + 5x = 20 + 2x Solving 8 + 5x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 5x + -2x = 20 + 2x + -2x Combine like terms: 5x + -2x = 3x 8 + 3x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 3x = 20 + 0 8 + 3x = 20 Add '-8' to each side of the equation. 8 + -8 + 3x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 20 + -8 3x = 20 + -8 Combine like terms: 20 + -8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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