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Simplifying 5(x + 1) + -1(x + -18) = -5(x + -1) Reorder the terms: 5(1 + x) + -1(x + -18) = -5(x + -1) (1 * 5 + x * 5) + -1(x + -18) = -5(x + -1) (5 + 5x) + -1(x + -18) = -5(x + -1) Reorder the terms: 5 + 5x + -1(-18 + x) = -5(x + -1) 5 + 5x + (-18 * -1 + x * -1) = -5(x + -1) 5 + 5x + (18 + -1x) = -5(x + -1) Reorder the terms: 5 + 18 + 5x + -1x = -5(x + -1) Combine like terms: 5 + 18 = 23 23 + 5x + -1x = -5(x + -1) Combine like terms: 5x + -1x = 4x 23 + 4x = -5(x + -1) Reorder the terms: 23 + 4x = -5(-1 + x) 23 + 4x = (-1 * -5 + x * -5) 23 + 4x = (5 + -5x) Solving 23 + 4x = 5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 23 + 4x + 5x = 5 + -5x + 5x Combine like terms: 4x + 5x = 9x 23 + 9x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 23 + 9x = 5 + 0 23 + 9x = 5 Add '-23' to each side of the equation. 23 + -23 + 9x = 5 + -23 Combine like terms: 23 + -23 = 0 0 + 9x = 5 + -23 9x = 5 + -23 Combine like terms: 5 + -23 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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