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Simplifying 4(3x + -18) + -3(9x + 12) = 3(x + -8) Reorder the terms: 4(-18 + 3x) + -3(9x + 12) = 3(x + -8) (-18 * 4 + 3x * 4) + -3(9x + 12) = 3(x + -8) (-72 + 12x) + -3(9x + 12) = 3(x + -8) Reorder the terms: -72 + 12x + -3(12 + 9x) = 3(x + -8) -72 + 12x + (12 * -3 + 9x * -3) = 3(x + -8) -72 + 12x + (-36 + -27x) = 3(x + -8) Reorder the terms: -72 + -36 + 12x + -27x = 3(x + -8) Combine like terms: -72 + -36 = -108 -108 + 12x + -27x = 3(x + -8) Combine like terms: 12x + -27x = -15x -108 + -15x = 3(x + -8) Reorder the terms: -108 + -15x = 3(-8 + x) -108 + -15x = (-8 * 3 + x * 3) -108 + -15x = (-24 + 3x) Solving -108 + -15x = -24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -108 + -15x + -3x = -24 + 3x + -3x Combine like terms: -15x + -3x = -18x -108 + -18x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -108 + -18x = -24 + 0 -108 + -18x = -24 Add '108' to each side of the equation. -108 + 108 + -18x = -24 + 108 Combine like terms: -108 + 108 = 0 0 + -18x = -24 + 108 -18x = -24 + 108 Combine like terms: -24 + 108 = 84 -18x = 84 Divide each side by '-18'. x = -4.666666667 Simplifying x = -4.666666667
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