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Simplifying 6(x + -4) + -1(5x + -1) = 1 Reorder the terms: 6(-4 + x) + -1(5x + -1) = 1 (-4 * 6 + x * 6) + -1(5x + -1) = 1 (-24 + 6x) + -1(5x + -1) = 1 Reorder the terms: -24 + 6x + -1(-1 + 5x) = 1 -24 + 6x + (-1 * -1 + 5x * -1) = 1 -24 + 6x + (1 + -5x) = 1 Reorder the terms: -24 + 1 + 6x + -5x = 1 Combine like terms: -24 + 1 = -23 -23 + 6x + -5x = 1 Combine like terms: 6x + -5x = 1x -23 + 1x = 1 Solving -23 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1x = 1 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 1 + 23 1x = 1 + 23 Combine like terms: 1 + 23 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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