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Simplifying 3(2x + -7) = 5x + 17 + -1x Reorder the terms: 3(-7 + 2x) = 5x + 17 + -1x (-7 * 3 + 2x * 3) = 5x + 17 + -1x (-21 + 6x) = 5x + 17 + -1x Reorder the terms: -21 + 6x = 17 + 5x + -1x Combine like terms: 5x + -1x = 4x -21 + 6x = 17 + 4x Solving -21 + 6x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -21 + 6x + -4x = 17 + 4x + -4x Combine like terms: 6x + -4x = 2x -21 + 2x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 2x = 17 + 0 -21 + 2x = 17 Add '21' to each side of the equation. -21 + 21 + 2x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 17 + 21 2x = 17 + 21 Combine like terms: 17 + 21 = 38 2x = 38 Divide each side by '2'. x = 19 Simplifying x = 19
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