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Simplifying 6(3x + -7) + -4(x + 1) + -17x = 0 Reorder the terms: 6(-7 + 3x) + -4(x + 1) + -17x = 0 (-7 * 6 + 3x * 6) + -4(x + 1) + -17x = 0 (-42 + 18x) + -4(x + 1) + -17x = 0 Reorder the terms: -42 + 18x + -4(1 + x) + -17x = 0 -42 + 18x + (1 * -4 + x * -4) + -17x = 0 -42 + 18x + (-4 + -4x) + -17x = 0 Reorder the terms: -42 + -4 + 18x + -4x + -17x = 0 Combine like terms: -42 + -4 = -46 -46 + 18x + -4x + -17x = 0 Combine like terms: 18x + -4x = 14x -46 + 14x + -17x = 0 Combine like terms: 14x + -17x = -3x -46 + -3x = 0 Solving -46 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -3x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -3x = 0 + 46 -3x = 0 + 46 Combine like terms: 0 + 46 = 46 -3x = 46 Divide each side by '-3'. x = -15.33333333 Simplifying x = -15.33333333
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