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Simplifying 3(2x + -7) = 5x + 17 + 6 Reorder the terms: 3(-7 + 2x) = 5x + 17 + 6 (-7 * 3 + 2x * 3) = 5x + 17 + 6 (-21 + 6x) = 5x + 17 + 6 Reorder the terms: -21 + 6x = 17 + 6 + 5x Combine like terms: 17 + 6 = 23 -21 + 6x = 23 + 5x Solving -21 + 6x = 23 + 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. -21 + 6x + -5x = 23 + 5x + -5x Combine like terms: 6x + -5x = 1x -21 + 1x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 1x = 23 + 0 -21 + 1x = 23 Add '21' to each side of the equation. -21 + 21 + 1x = 23 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 23 + 21 1x = 23 + 21 Combine like terms: 23 + 21 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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