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Simplifying 2[3 + -4(x + 1)] = 3 + 2x Reorder the terms: 2[3 + -4(1 + x)] = 3 + 2x 2[3 + (1 * -4 + x * -4)] = 3 + 2x 2[3 + (-4 + -4x)] = 3 + 2x Combine like terms: 3 + -4 = -1 2[-1 + -4x] = 3 + 2x [-1 * 2 + -4x * 2] = 3 + 2x [-2 + -8x] = 3 + 2x Solving -2 + -8x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + -8x + -2x = 3 + 2x + -2x Combine like terms: -8x + -2x = -10x -2 + -10x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -10x = 3 + 0 -2 + -10x = 3 Add '2' to each side of the equation. -2 + 2 + -10x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 3 + 2 -10x = 3 + 2 Combine like terms: 3 + 2 = 5 -10x = 5 Divide each side by '-10'. x = -0.5 Simplifying x = -0.5
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