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Simplifying 4[2(2x + -2)] = 2(4 + -3x) Reorder the terms: 4[2(-2 + 2x)] = 2(4 + -3x) 4[(-2 * 2 + 2x * 2)] = 2(4 + -3x) 4[(-4 + 4x)] = 2(4 + -3x) [-4 * 4 + 4x * 4] = 2(4 + -3x) [-16 + 16x] = 2(4 + -3x) -16 + 16x = (4 * 2 + -3x * 2) -16 + 16x = (8 + -6x) Solving -16 + 16x = 8 + -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. -16 + 16x + 6x = 8 + -6x + 6x Combine like terms: 16x + 6x = 22x -16 + 22x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 -16 + 22x = 8 + 0 -16 + 22x = 8 Add '16' to each side of the equation. -16 + 16 + 22x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 22x = 8 + 16 22x = 8 + 16 Combine like terms: 8 + 16 = 24 22x = 24 Divide each side by '22'. x = 1.090909091 Simplifying x = 1.090909091
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