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Simplifying 5[2(2x + -4)] = 2[5 + -3x] Reorder the terms: 5[2(-4 + 2x)] = 2[5 + -3x] 5[(-4 * 2 + 2x * 2)] = 2[5 + -3x] 5[(-8 + 4x)] = 2[5 + -3x] [-8 * 5 + 4x * 5] = 2[5 + -3x] [-40 + 20x] = 2[5 + -3x] -40 + 20x = [5 * 2 + -3x * 2] -40 + 20x = [10 + -6x] Solving -40 + 20x = 10 + -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. -40 + 20x + 6x = 10 + -6x + 6x Combine like terms: 20x + 6x = 26x -40 + 26x = 10 + -6x + 6x Combine like terms: -6x + 6x = 0 -40 + 26x = 10 + 0 -40 + 26x = 10 Add '40' to each side of the equation. -40 + 40 + 26x = 10 + 40 Combine like terms: -40 + 40 = 0 0 + 26x = 10 + 40 26x = 10 + 40 Combine like terms: 10 + 40 = 50 26x = 50 Divide each side by '26'. x = 1.923076923 Simplifying x = 1.923076923
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