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Simplifying 5(x + 5) + -1(x + 1) = 6 Reorder the terms: 5(5 + x) + -1(x + 1) = 6 (5 * 5 + x * 5) + -1(x + 1) = 6 (25 + 5x) + -1(x + 1) = 6 Reorder the terms: 25 + 5x + -1(1 + x) = 6 25 + 5x + (1 * -1 + x * -1) = 6 25 + 5x + (-1 + -1x) = 6 Reorder the terms: 25 + -1 + 5x + -1x = 6 Combine like terms: 25 + -1 = 24 24 + 5x + -1x = 6 Combine like terms: 5x + -1x = 4x 24 + 4x = 6 Solving 24 + 4x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 6 + -24 4x = 6 + -24 Combine like terms: 6 + -24 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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