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Simplifying 3(14x + -27) = 4 + -3(x + 3) Reorder the terms: 3(-27 + 14x) = 4 + -3(x + 3) (-27 * 3 + 14x * 3) = 4 + -3(x + 3) (-81 + 42x) = 4 + -3(x + 3) Reorder the terms: -81 + 42x = 4 + -3(3 + x) -81 + 42x = 4 + (3 * -3 + x * -3) -81 + 42x = 4 + (-9 + -3x) Combine like terms: 4 + -9 = -5 -81 + 42x = -5 + -3x Solving -81 + 42x = -5 + -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. -81 + 42x + 3x = -5 + -3x + 3x Combine like terms: 42x + 3x = 45x -81 + 45x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -81 + 45x = -5 + 0 -81 + 45x = -5 Add '81' to each side of the equation. -81 + 81 + 45x = -5 + 81 Combine like terms: -81 + 81 = 0 0 + 45x = -5 + 81 45x = -5 + 81 Combine like terms: -5 + 81 = 76 45x = 76 Divide each side by '45'. x = 1.688888889 Simplifying x = 1.688888889
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