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Simplifying 6(x + 2) + -2(x + -1) = 17 Reorder the terms: 6(2 + x) + -2(x + -1) = 17 (2 * 6 + x * 6) + -2(x + -1) = 17 (12 + 6x) + -2(x + -1) = 17 Reorder the terms: 12 + 6x + -2(-1 + x) = 17 12 + 6x + (-1 * -2 + x * -2) = 17 12 + 6x + (2 + -2x) = 17 Reorder the terms: 12 + 2 + 6x + -2x = 17 Combine like terms: 12 + 2 = 14 14 + 6x + -2x = 17 Combine like terms: 6x + -2x = 4x 14 + 4x = 17 Solving 14 + 4x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4x = 17 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 17 + -14 4x = 17 + -14 Combine like terms: 17 + -14 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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