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Simplifying 3x + -7(x + 2) + 3(x + -1) = 0 Reorder the terms: 3x + -7(2 + x) + 3(x + -1) = 0 3x + (2 * -7 + x * -7) + 3(x + -1) = 0 3x + (-14 + -7x) + 3(x + -1) = 0 Reorder the terms: 3x + -14 + -7x + 3(-1 + x) = 0 3x + -14 + -7x + (-1 * 3 + x * 3) = 0 3x + -14 + -7x + (-3 + 3x) = 0 Reorder the terms: -14 + -3 + 3x + -7x + 3x = 0 Combine like terms: -14 + -3 = -17 -17 + 3x + -7x + 3x = 0 Combine like terms: 3x + -7x = -4x -17 + -4x + 3x = 0 Combine like terms: -4x + 3x = -1x -17 + -1x = 0 Solving -17 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1x = 0 + 17 -1x = 0 + 17 Combine like terms: 0 + 17 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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