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Simplifying 3x + 3(5x + -7) = 17 + -1x Reorder the terms: 3x + 3(-7 + 5x) = 17 + -1x 3x + (-7 * 3 + 5x * 3) = 17 + -1x 3x + (-21 + 15x) = 17 + -1x Reorder the terms: -21 + 3x + 15x = 17 + -1x Combine like terms: 3x + 15x = 18x -21 + 18x = 17 + -1x Solving -21 + 18x = 17 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -21 + 18x + x = 17 + -1x + x Combine like terms: 18x + x = 19x -21 + 19x = 17 + -1x + x Combine like terms: -1x + x = 0 -21 + 19x = 17 + 0 -21 + 19x = 17 Add '21' to each side of the equation. -21 + 21 + 19x = 17 + 21 Combine like terms: -21 + 21 = 0 0 + 19x = 17 + 21 19x = 17 + 21 Combine like terms: 17 + 21 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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