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Simplifying 2x + -4 + 4(3x + 1) = -4(x + 1) Reorder the terms: 2x + -4 + 4(1 + 3x) = -4(x + 1) 2x + -4 + (1 * 4 + 3x * 4) = -4(x + 1) 2x + -4 + (4 + 12x) = -4(x + 1) Reorder the terms: -4 + 4 + 2x + 12x = -4(x + 1) Combine like terms: -4 + 4 = 0 0 + 2x + 12x = -4(x + 1) 2x + 12x = -4(x + 1) Combine like terms: 2x + 12x = 14x 14x = -4(x + 1) Reorder the terms: 14x = -4(1 + x) 14x = (1 * -4 + x * -4) 14x = (-4 + -4x) Solving 14x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14x + 4x = -4 + -4x + 4x Combine like terms: 14x + 4x = 18x 18x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 18x = -4 + 0 18x = -4 Divide each side by '18'. x = -0.2222222222 Simplifying x = -0.2222222222
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