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Simplifying 2(4x + -1) + 5(x + 4) = 31 Reorder the terms: 2(-1 + 4x) + 5(x + 4) = 31 (-1 * 2 + 4x * 2) + 5(x + 4) = 31 (-2 + 8x) + 5(x + 4) = 31 Reorder the terms: -2 + 8x + 5(4 + x) = 31 -2 + 8x + (4 * 5 + x * 5) = 31 -2 + 8x + (20 + 5x) = 31 Reorder the terms: -2 + 20 + 8x + 5x = 31 Combine like terms: -2 + 20 = 18 18 + 8x + 5x = 31 Combine like terms: 8x + 5x = 13x 18 + 13x = 31 Solving 18 + 13x = 31 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 13x = 31 + -18 Combine like terms: 18 + -18 = 0 0 + 13x = 31 + -18 13x = 31 + -18 Combine like terms: 31 + -18 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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