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Simplifying 5(x + 1) + -1(4x + -18) = 11 Reorder the terms: 5(1 + x) + -1(4x + -18) = 11 (1 * 5 + x * 5) + -1(4x + -18) = 11 (5 + 5x) + -1(4x + -18) = 11 Reorder the terms: 5 + 5x + -1(-18 + 4x) = 11 5 + 5x + (-18 * -1 + 4x * -1) = 11 5 + 5x + (18 + -4x) = 11 Reorder the terms: 5 + 18 + 5x + -4x = 11 Combine like terms: 5 + 18 = 23 23 + 5x + -4x = 11 Combine like terms: 5x + -4x = 1x 23 + 1x = 11 Solving 23 + 1x = 11 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 = 11 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 11 + -23 1x = 11 + -23 Combine like terms: 11 + -23 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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