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Simplifying 2(5x + -2) = 2(23x + 18) Reorder the terms: 2(-2 + 5x) = 2(23x + 18) (-2 * 2 + 5x * 2) = 2(23x + 18) (-4 + 10x) = 2(23x + 18) Reorder the terms: -4 + 10x = 2(18 + 23x) -4 + 10x = (18 * 2 + 23x * 2) -4 + 10x = (36 + 46x) Solving -4 + 10x = 36 + 46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46x' to each side of the equation. -4 + 10x + -46x = 36 + 46x + -46x Combine like terms: 10x + -46x = -36x -4 + -36x = 36 + 46x + -46x Combine like terms: 46x + -46x = 0 -4 + -36x = 36 + 0 -4 + -36x = 36 Add '4' to each side of the equation. -4 + 4 + -36x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -36x = 36 + 4 -36x = 36 + 4 Combine like terms: 36 + 4 = 40 -36x = 40 Divide each side by '-36'. x = -1.111111111 Simplifying x = -1.111111111
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