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Simplifying 2(x + 1) = 4 + -3(2x + 1) Reorder the terms: 2(1 + x) = 4 + -3(2x + 1) (1 * 2 + x * 2) = 4 + -3(2x + 1) (2 + 2x) = 4 + -3(2x + 1) Reorder the terms: 2 + 2x = 4 + -3(1 + 2x) 2 + 2x = 4 + (1 * -3 + 2x * -3) 2 + 2x = 4 + (-3 + -6x) Combine like terms: 4 + -3 = 1 2 + 2x = 1 + -6x Solving 2 + 2x = 1 + -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. 2 + 2x + 6x = 1 + -6x + 6x Combine like terms: 2x + 6x = 8x 2 + 8x = 1 + -6x + 6x Combine like terms: -6x + 6x = 0 2 + 8x = 1 + 0 2 + 8x = 1 Add '-2' to each side of the equation. 2 + -2 + 8x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 1 + -2 8x = 1 + -2 Combine like terms: 1 + -2 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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