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Simplifying 2(3x + -4) + -8 = 5x + -17 Reorder the terms: 2(-4 + 3x) + -8 = 5x + -17 (-4 * 2 + 3x * 2) + -8 = 5x + -17 (-8 + 6x) + -8 = 5x + -17 Reorder the terms: -8 + -8 + 6x = 5x + -17 Combine like terms: -8 + -8 = -16 -16 + 6x = 5x + -17 Reorder the terms: -16 + 6x = -17 + 5x Solving -16 + 6x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -16 + 6x + -5x = -17 + 5x + -5x Combine like terms: 6x + -5x = 1x -16 + 1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 1x = -17 + 0 -16 + 1x = -17 Add '16' to each side of the equation. -16 + 16 + 1x = -17 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = -17 + 16 1x = -17 + 16 Combine like terms: -17 + 16 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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