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Simplifying (-3)(2x + -4) + 2(2x + -4) + -1x = -17 Reorder the terms: -3(-4 + 2x) + 2(2x + -4) + -1x = -17 (-4 * -3 + 2x * -3) + 2(2x + -4) + -1x = -17 (12 + -6x) + 2(2x + -4) + -1x = -17 Reorder the terms: 12 + -6x + 2(-4 + 2x) + -1x = -17 12 + -6x + (-4 * 2 + 2x * 2) + -1x = -17 12 + -6x + (-8 + 4x) + -1x = -17 Reorder the terms: 12 + -8 + -6x + 4x + -1x = -17 Combine like terms: 12 + -8 = 4 4 + -6x + 4x + -1x = -17 Combine like terms: -6x + 4x = -2x 4 + -2x + -1x = -17 Combine like terms: -2x + -1x = -3x 4 + -3x = -17 Solving 4 + -3x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = -17 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = -17 + -4 -3x = -17 + -4 Combine like terms: -17 + -4 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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