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Simplifying 3(6x + -3) + 2(19 + -4x) + -3(3x + 4) = -8 Reorder the terms: 3(-3 + 6x) + 2(19 + -4x) + -3(3x + 4) = -8 (-3 * 3 + 6x * 3) + 2(19 + -4x) + -3(3x + 4) = -8 (-9 + 18x) + 2(19 + -4x) + -3(3x + 4) = -8 -9 + 18x + (19 * 2 + -4x * 2) + -3(3x + 4) = -8 -9 + 18x + (38 + -8x) + -3(3x + 4) = -8 Reorder the terms: -9 + 18x + 38 + -8x + -3(4 + 3x) = -8 -9 + 18x + 38 + -8x + (4 * -3 + 3x * -3) = -8 -9 + 18x + 38 + -8x + (-12 + -9x) = -8 Reorder the terms: -9 + 38 + -12 + 18x + -8x + -9x = -8 Combine like terms: -9 + 38 = 29 29 + -12 + 18x + -8x + -9x = -8 Combine like terms: 29 + -12 = 17 17 + 18x + -8x + -9x = -8 Combine like terms: 18x + -8x = 10x 17 + 10x + -9x = -8 Combine like terms: 10x + -9x = 1x 17 + 1x = -8 Solving 17 + 1x = -8 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 = -8 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = -8 + -17 1x = -8 + -17 Combine like terms: -8 + -17 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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