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Simplifying 3(x + 2) + -4x + 2 = x + 9 + 17 + x Reorder the terms: 3(2 + x) + -4x + 2 = x + 9 + 17 + x (2 * 3 + x * 3) + -4x + 2 = x + 9 + 17 + x (6 + 3x) + -4x + 2 = x + 9 + 17 + x Reorder the terms: 6 + 2 + 3x + -4x = x + 9 + 17 + x Combine like terms: 6 + 2 = 8 8 + 3x + -4x = x + 9 + 17 + x Combine like terms: 3x + -4x = -1x 8 + -1x = x + 9 + 17 + x Reorder the terms: 8 + -1x = 9 + 17 + x + x Combine like terms: 9 + 17 = 26 8 + -1x = 26 + x + x Combine like terms: x + x = 2x 8 + -1x = 26 + 2x Solving 8 + -1x = 26 + 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. 8 + -1x + -2x = 26 + 2x + -2x Combine like terms: -1x + -2x = -3x 8 + -3x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -3x = 26 + 0 8 + -3x = 26 Add '-8' to each side of the equation. 8 + -8 + -3x = 26 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 26 + -8 -3x = 26 + -8 Combine like terms: 26 + -8 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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