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Simplifying -2(x + 6) + 20 = 17 + -3x Reorder the terms: -2(6 + x) + 20 = 17 + -3x (6 * -2 + x * -2) + 20 = 17 + -3x (-12 + -2x) + 20 = 17 + -3x Reorder the terms: -12 + 20 + -2x = 17 + -3x Combine like terms: -12 + 20 = 8 8 + -2x = 17 + -3x Solving 8 + -2x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -2x + 3x = 17 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = 17 + 0 8 + 1x = 17 Add '-8' to each side of the equation. 8 + -8 + 1x = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 17 + -8 1x = 17 + -8 Combine like terms: 17 + -8 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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