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Simplifying 3(4x + -12) = 27x Reorder the terms: 3(-12 + 4x) = 27x (-12 * 3 + 4x * 3) = 27x (-36 + 12x) = 27x Solving -36 + 12x = 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -36 + 12x + -27x = 27x + -27x Combine like terms: 12x + -27x = -15x -36 + -15x = 27x + -27x Combine like terms: 27x + -27x = 0 -36 + -15x = 0 Add '36' to each side of the equation. -36 + 36 + -15x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -15x = 0 + 36 -15x = 0 + 36 Combine like terms: 0 + 36 = 36 -15x = 36 Divide each side by '-15'. x = -2.4 Simplifying x = -2.4
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