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Simplifying 5(x + 11) + -2(2x + 3) = 5 Reorder the terms: 5(11 + x) + -2(2x + 3) = 5 (11 * 5 + x * 5) + -2(2x + 3) = 5 (55 + 5x) + -2(2x + 3) = 5 Reorder the terms: 55 + 5x + -2(3 + 2x) = 5 55 + 5x + (3 * -2 + 2x * -2) = 5 55 + 5x + (-6 + -4x) = 5 Reorder the terms: 55 + -6 + 5x + -4x = 5 Combine like terms: 55 + -6 = 49 49 + 5x + -4x = 5 Combine like terms: 5x + -4x = 1x 49 + 1x = 5 Solving 49 + 1x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 1x = 5 + -49 Combine like terms: 49 + -49 = 0 0 + 1x = 5 + -49 1x = 5 + -49 Combine like terms: 5 + -49 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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