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Simplifying 27(x + -3) = 3(2x + -4) Reorder the terms: 27(-3 + x) = 3(2x + -4) (-3 * 27 + x * 27) = 3(2x + -4) (-81 + 27x) = 3(2x + -4) Reorder the terms: -81 + 27x = 3(-4 + 2x) -81 + 27x = (-4 * 3 + 2x * 3) -81 + 27x = (-12 + 6x) Solving -81 + 27x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -81 + 27x + -6x = -12 + 6x + -6x Combine like terms: 27x + -6x = 21x -81 + 21x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -81 + 21x = -12 + 0 -81 + 21x = -12 Add '81' to each side of the equation. -81 + 81 + 21x = -12 + 81 Combine like terms: -81 + 81 = 0 0 + 21x = -12 + 81 21x = -12 + 81 Combine like terms: -12 + 81 = 69 21x = 69 Divide each side by '21'. x = 3.285714286 Simplifying x = 3.285714286
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