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Simplifying 6(2x + -7) + -3(x + 2) + -17x = 0 Reorder the terms: 6(-7 + 2x) + -3(x + 2) + -17x = 0 (-7 * 6 + 2x * 6) + -3(x + 2) + -17x = 0 (-42 + 12x) + -3(x + 2) + -17x = 0 Reorder the terms: -42 + 12x + -3(2 + x) + -17x = 0 -42 + 12x + (2 * -3 + x * -3) + -17x = 0 -42 + 12x + (-6 + -3x) + -17x = 0 Reorder the terms: -42 + -6 + 12x + -3x + -17x = 0 Combine like terms: -42 + -6 = -48 -48 + 12x + -3x + -17x = 0 Combine like terms: 12x + -3x = 9x -48 + 9x + -17x = 0 Combine like terms: 9x + -17x = -8x -48 + -8x = 0 Solving -48 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -8x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -8x = 0 + 48 -8x = 0 + 48 Combine like terms: 0 + 48 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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