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Simplifying 4 + -6x + 2(x + -9) = 9 + 2x + -17 Reorder the terms: 4 + -6x + 2(-9 + x) = 9 + 2x + -17 4 + -6x + (-9 * 2 + x * 2) = 9 + 2x + -17 4 + -6x + (-18 + 2x) = 9 + 2x + -17 Reorder the terms: 4 + -18 + -6x + 2x = 9 + 2x + -17 Combine like terms: 4 + -18 = -14 -14 + -6x + 2x = 9 + 2x + -17 Combine like terms: -6x + 2x = -4x -14 + -4x = 9 + 2x + -17 Reorder the terms: -14 + -4x = 9 + -17 + 2x Combine like terms: 9 + -17 = -8 -14 + -4x = -8 + 2x Solving -14 + -4x = -8 + 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. -14 + -4x + -2x = -8 + 2x + -2x Combine like terms: -4x + -2x = -6x -14 + -6x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -6x = -8 + 0 -14 + -6x = -8 Add '14' to each side of the equation. -14 + 14 + -6x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = -8 + 14 -6x = -8 + 14 Combine like terms: -8 + 14 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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