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Simplifying 3(2x + -4) = 5x + 17 Reorder the terms: 3(-4 + 2x) = 5x + 17 (-4 * 3 + 2x * 3) = 5x + 17 (-12 + 6x) = 5x + 17 Reorder the terms: -12 + 6x = 17 + 5x Solving -12 + 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. -12 + 6x + -5x = 17 + 5x + -5x Combine like terms: 6x + -5x = 1x -12 + 1x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 1x = 17 + 0 -12 + 1x = 17 Add '12' to each side of the equation. -12 + 12 + 1x = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 17 + 12 1x = 17 + 12 Combine like terms: 17 + 12 = 29 1x = 29 Divide each side by '1'. x = 29 Simplifying x = 29
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