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Simplifying 3(2x + -4) + -5 + -6(3x + -8) = 29 Reorder the terms: 3(-4 + 2x) + -5 + -6(3x + -8) = 29 (-4 * 3 + 2x * 3) + -5 + -6(3x + -8) = 29 (-12 + 6x) + -5 + -6(3x + -8) = 29 Reorder the terms: -12 + 6x + -5 + -6(-8 + 3x) = 29 -12 + 6x + -5 + (-8 * -6 + 3x * -6) = 29 -12 + 6x + -5 + (48 + -18x) = 29 Reorder the terms: -12 + -5 + 48 + 6x + -18x = 29 Combine like terms: -12 + -5 = -17 -17 + 48 + 6x + -18x = 29 Combine like terms: -17 + 48 = 31 31 + 6x + -18x = 29 Combine like terms: 6x + -18x = -12x 31 + -12x = 29 Solving 31 + -12x = 29 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 + -12x = 29 + -31 Combine like terms: 31 + -31 = 0 0 + -12x = 29 + -31 -12x = 29 + -31 Combine like terms: 29 + -31 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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