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Simplifying 6x + -2[2(x + 5) + 3] = 20 Reorder the terms: 6x + -2[2(5 + x) + 3] = 20 6x + -2[(5 * 2 + x * 2) + 3] = 20 6x + -2[(10 + 2x) + 3] = 20 Reorder the terms: 6x + -2[10 + 3 + 2x] = 20 Combine like terms: 10 + 3 = 13 6x + -2[13 + 2x] = 20 6x + [13 * -2 + 2x * -2] = 20 6x + [-26 + -4x] = 20 Reorder the terms: -26 + 6x + -4x = 20 Combine like terms: 6x + -4x = 2x -26 + 2x = 20 Solving -26 + 2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2x = 20 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 20 + 26 2x = 20 + 26 Combine like terms: 20 + 26 = 46 2x = 46 Divide each side by '2'. x = 23 Simplifying x = 23
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