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Simplifying 2[3 + -2(2x + 3)] = 2(x + -1) Reorder the terms: 2[3 + -2(3 + 2x)] = 2(x + -1) 2[3 + (3 * -2 + 2x * -2)] = 2(x + -1) 2[3 + (-6 + -4x)] = 2(x + -1) Combine like terms: 3 + -6 = -3 2[-3 + -4x] = 2(x + -1) [-3 * 2 + -4x * 2] = 2(x + -1) [-6 + -8x] = 2(x + -1) Reorder the terms: -6 + -8x = 2(-1 + x) -6 + -8x = (-1 * 2 + x * 2) -6 + -8x = (-2 + 2x) Solving -6 + -8x = -2 + 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. -6 + -8x + -2x = -2 + 2x + -2x Combine like terms: -8x + -2x = -10x -6 + -10x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -10x = -2 + 0 -6 + -10x = -2 Add '6' to each side of the equation. -6 + 6 + -10x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -10x = -2 + 6 -10x = -2 + 6 Combine like terms: -2 + 6 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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