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Simplifying 4(x + 1) = 2 + -3x Reorder the terms: 4(1 + x) = 2 + -3x (1 * 4 + x * 4) = 2 + -3x (4 + 4x) = 2 + -3x Solving 4 + 4x = 2 + -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. 4 + 4x + 3x = 2 + -3x + 3x Combine like terms: 4x + 3x = 7x 4 + 7x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 7x = 2 + 0 4 + 7x = 2 Add '-4' to each side of the equation. 4 + -4 + 7x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 2 + -4 7x = 2 + -4 Combine like terms: 2 + -4 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857
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