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Simplifying 2(-3x + 5) + -8 = x + 17 Reorder the terms: 2(5 + -3x) + -8 = x + 17 (5 * 2 + -3x * 2) + -8 = x + 17 (10 + -6x) + -8 = x + 17 Reorder the terms: 10 + -8 + -6x = x + 17 Combine like terms: 10 + -8 = 2 2 + -6x = x + 17 Reorder the terms: 2 + -6x = 17 + x Solving 2 + -6x = 17 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -6x + -1x = 17 + x + -1x Combine like terms: -6x + -1x = -7x 2 + -7x = 17 + x + -1x Combine like terms: x + -1x = 0 2 + -7x = 17 + 0 2 + -7x = 17 Add '-2' to each side of the equation. 2 + -2 + -7x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 17 + -2 -7x = 17 + -2 Combine like terms: 17 + -2 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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