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Simplifying (3x + -6) + (-2x + -14) = 2x + 17 Reorder the terms: (-6 + 3x) + (-2x + -14) = 2x + 17 Remove parenthesis around (-6 + 3x) -6 + 3x + (-2x + -14) = 2x + 17 Reorder the terms: -6 + 3x + (-14 + -2x) = 2x + 17 Remove parenthesis around (-14 + -2x) -6 + 3x + -14 + -2x = 2x + 17 Reorder the terms: -6 + -14 + 3x + -2x = 2x + 17 Combine like terms: -6 + -14 = -20 -20 + 3x + -2x = 2x + 17 Combine like terms: 3x + -2x = 1x -20 + 1x = 2x + 17 Reorder the terms: -20 + 1x = 17 + 2x Solving -20 + 1x = 17 + 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. -20 + 1x + -2x = 17 + 2x + -2x Combine like terms: 1x + -2x = -1x -20 + -1x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -1x = 17 + 0 -20 + -1x = 17 Add '20' to each side of the equation. -20 + 20 + -1x = 17 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 17 + 20 -1x = 17 + 20 Combine like terms: 17 + 20 = 37 -1x = 37 Divide each side by '-1'. x = -37 Simplifying x = -37
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