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Simplifying 2(5x + -4) = 2(23x + 16) Reorder the terms: 2(-4 + 5x) = 2(23x + 16) (-4 * 2 + 5x * 2) = 2(23x + 16) (-8 + 10x) = 2(23x + 16) Reorder the terms: -8 + 10x = 2(16 + 23x) -8 + 10x = (16 * 2 + 23x * 2) -8 + 10x = (32 + 46x) Solving -8 + 10x = 32 + 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. -8 + 10x + -46x = 32 + 46x + -46x Combine like terms: 10x + -46x = -36x -8 + -36x = 32 + 46x + -46x Combine like terms: 46x + -46x = 0 -8 + -36x = 32 + 0 -8 + -36x = 32 Add '8' to each side of the equation. -8 + 8 + -36x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -36x = 32 + 8 -36x = 32 + 8 Combine like terms: 32 + 8 = 40 -36x = 40 Divide each side by '-36'. x = -1.111111111 Simplifying x = -1.111111111
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