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Simplifying 2(x + -4) + 3(2x + -1) = 31 Reorder the terms: 2(-4 + x) + 3(2x + -1) = 31 (-4 * 2 + x * 2) + 3(2x + -1) = 31 (-8 + 2x) + 3(2x + -1) = 31 Reorder the terms: -8 + 2x + 3(-1 + 2x) = 31 -8 + 2x + (-1 * 3 + 2x * 3) = 31 -8 + 2x + (-3 + 6x) = 31 Reorder the terms: -8 + -3 + 2x + 6x = 31 Combine like terms: -8 + -3 = -11 -11 + 2x + 6x = 31 Combine like terms: 2x + 6x = 8x -11 + 8x = 31 Solving -11 + 8x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 8x = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 8x = 31 + 11 8x = 31 + 11 Combine like terms: 31 + 11 = 42 8x = 42 Divide each side by '8'. x = 5.25 Simplifying x = 5.25
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