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Simplifying 3(6x + -2) + 4(13 + -2x) + -3(3x + 5) = -8 Reorder the terms: 3(-2 + 6x) + 4(13 + -2x) + -3(3x + 5) = -8 (-2 * 3 + 6x * 3) + 4(13 + -2x) + -3(3x + 5) = -8 (-6 + 18x) + 4(13 + -2x) + -3(3x + 5) = -8 -6 + 18x + (13 * 4 + -2x * 4) + -3(3x + 5) = -8 -6 + 18x + (52 + -8x) + -3(3x + 5) = -8 Reorder the terms: -6 + 18x + 52 + -8x + -3(5 + 3x) = -8 -6 + 18x + 52 + -8x + (5 * -3 + 3x * -3) = -8 -6 + 18x + 52 + -8x + (-15 + -9x) = -8 Reorder the terms: -6 + 52 + -15 + 18x + -8x + -9x = -8 Combine like terms: -6 + 52 = 46 46 + -15 + 18x + -8x + -9x = -8 Combine like terms: 46 + -15 = 31 31 + 18x + -8x + -9x = -8 Combine like terms: 18x + -8x = 10x 31 + 10x + -9x = -8 Combine like terms: 10x + -9x = 1x 31 + 1x = -8 Solving 31 + 1x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 1x = -8 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = -8 + -31 1x = -8 + -31 Combine like terms: -8 + -31 = -39 1x = -39 Divide each side by '1'. x = -39 Simplifying x = -39
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