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Simplifying 6(3x + -4) + 3(17 + -3x) + -4(2x + 5) = -17 Reorder the terms: 6(-4 + 3x) + 3(17 + -3x) + -4(2x + 5) = -17 (-4 * 6 + 3x * 6) + 3(17 + -3x) + -4(2x + 5) = -17 (-24 + 18x) + 3(17 + -3x) + -4(2x + 5) = -17 -24 + 18x + (17 * 3 + -3x * 3) + -4(2x + 5) = -17 -24 + 18x + (51 + -9x) + -4(2x + 5) = -17 Reorder the terms: -24 + 18x + 51 + -9x + -4(5 + 2x) = -17 -24 + 18x + 51 + -9x + (5 * -4 + 2x * -4) = -17 -24 + 18x + 51 + -9x + (-20 + -8x) = -17 Reorder the terms: -24 + 51 + -20 + 18x + -9x + -8x = -17 Combine like terms: -24 + 51 = 27 27 + -20 + 18x + -9x + -8x = -17 Combine like terms: 27 + -20 = 7 7 + 18x + -9x + -8x = -17 Combine like terms: 18x + -9x = 9x 7 + 9x + -8x = -17 Combine like terms: 9x + -8x = 1x 7 + 1x = -17 Solving 7 + 1x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = -17 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -17 + -7 1x = -17 + -7 Combine like terms: -17 + -7 = -24 1x = -24 Divide each side by '1'. x = -24 Simplifying x = -24
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