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Simplifying 2(3x + -4) = 5x + -17 Reorder the terms: 2(-4 + 3x) = 5x + -17 (-4 * 2 + 3x * 2) = 5x + -17 (-8 + 6x) = 5x + -17 Reorder the terms: -8 + 6x = -17 + 5x Solving -8 + 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. -8 + 6x + -5x = -17 + 5x + -5x Combine like terms: 6x + -5x = 1x -8 + 1x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + 1x = -17 + 0 -8 + 1x = -17 Add '8' to each side of the equation. -8 + 8 + 1x = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -17 + 8 1x = -17 + 8 Combine like terms: -17 + 8 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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