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Simplifying 2(10x + -23) = 2 + -1(x + 6) Reorder the terms: 2(-23 + 10x) = 2 + -1(x + 6) (-23 * 2 + 10x * 2) = 2 + -1(x + 6) (-46 + 20x) = 2 + -1(x + 6) Reorder the terms: -46 + 20x = 2 + -1(6 + x) -46 + 20x = 2 + (6 * -1 + x * -1) -46 + 20x = 2 + (-6 + -1x) Combine like terms: 2 + -6 = -4 -46 + 20x = -4 + -1x Solving -46 + 20x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -46 + 20x + x = -4 + -1x + x Combine like terms: 20x + x = 21x -46 + 21x = -4 + -1x + x Combine like terms: -1x + x = 0 -46 + 21x = -4 + 0 -46 + 21x = -4 Add '46' to each side of the equation. -46 + 46 + 21x = -4 + 46 Combine like terms: -46 + 46 = 0 0 + 21x = -4 + 46 21x = -4 + 46 Combine like terms: -4 + 46 = 42 21x = 42 Divide each side by '21'. x = 2 Simplifying x = 2
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