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Simplifying 3(x + -4) + 6(6x + -2) + -6 = 18 Reorder the terms: 3(-4 + x) + 6(6x + -2) + -6 = 18 (-4 * 3 + x * 3) + 6(6x + -2) + -6 = 18 (-12 + 3x) + 6(6x + -2) + -6 = 18 Reorder the terms: -12 + 3x + 6(-2 + 6x) + -6 = 18 -12 + 3x + (-2 * 6 + 6x * 6) + -6 = 18 -12 + 3x + (-12 + 36x) + -6 = 18 Reorder the terms: -12 + -12 + -6 + 3x + 36x = 18 Combine like terms: -12 + -12 = -24 -24 + -6 + 3x + 36x = 18 Combine like terms: -24 + -6 = -30 -30 + 3x + 36x = 18 Combine like terms: 3x + 36x = 39x -30 + 39x = 18 Solving -30 + 39x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 39x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 39x = 18 + 30 39x = 18 + 30 Combine like terms: 18 + 30 = 48 39x = 48 Divide each side by '39'. x = 1.230769231 Simplifying x = 1.230769231
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