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Simplifying 2(x + -2) + 14 = 3x + -17 Reorder the terms: 2(-2 + x) + 14 = 3x + -17 (-2 * 2 + x * 2) + 14 = 3x + -17 (-4 + 2x) + 14 = 3x + -17 Reorder the terms: -4 + 14 + 2x = 3x + -17 Combine like terms: -4 + 14 = 10 10 + 2x = 3x + -17 Reorder the terms: 10 + 2x = -17 + 3x Solving 10 + 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. 10 + 2x + -3x = -17 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x = -17 + 0 10 + -1x = -17 Add '-10' to each side of the equation. 10 + -10 + -1x = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = -17 + -10 -1x = -17 + -10 Combine like terms: -17 + -10 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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