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Simplifying 6(1 + 2x) + -1(8x + -7) = 17 (1 * 6 + 2x * 6) + -1(8x + -7) = 17 (6 + 12x) + -1(8x + -7) = 17 Reorder the terms: 6 + 12x + -1(-7 + 8x) = 17 6 + 12x + (-7 * -1 + 8x * -1) = 17 6 + 12x + (7 + -8x) = 17 Reorder the terms: 6 + 7 + 12x + -8x = 17 Combine like terms: 6 + 7 = 13 13 + 12x + -8x = 17 Combine like terms: 12x + -8x = 4x 13 + 4x = 17 Solving 13 + 4x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 17 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 17 + -13 4x = 17 + -13 Combine like terms: 17 + -13 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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