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Simplifying 2(x + 1) + -6 = 3x + -17 Reorder the terms: 2(1 + x) + -6 = 3x + -17 (1 * 2 + x * 2) + -6 = 3x + -17 (2 + 2x) + -6 = 3x + -17 Reorder the terms: 2 + -6 + 2x = 3x + -17 Combine like terms: 2 + -6 = -4 -4 + 2x = 3x + -17 Reorder the terms: -4 + 2x = -17 + 3x Solving -4 + 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. -4 + 2x + -3x = -17 + 3x + -3x Combine like terms: 2x + -3x = -1x -4 + -1x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -1x = -17 + 0 -4 + -1x = -17 Add '4' to each side of the equation. -4 + 4 + -1x = -17 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -17 + 4 -1x = -17 + 4 Combine like terms: -17 + 4 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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