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Simplifying 5x + 9 + -1(3 + -13) = 2(11 + x) Combine like terms: 3 + -13 = -10 5x + 9 + -1(-10) = 2(11 + x) Multiply -1 * -10 5x + 9 + 10 = 2(11 + x) Reorder the terms: 9 + 10 + 5x = 2(11 + x) Combine like terms: 9 + 10 = 19 19 + 5x = 2(11 + x) 19 + 5x = (11 * 2 + x * 2) 19 + 5x = (22 + 2x) Solving 19 + 5x = 22 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + 5x + -2x = 22 + 2x + -2x Combine like terms: 5x + -2x = 3x 19 + 3x = 22 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 3x = 22 + 0 19 + 3x = 22 Add '-19' to each side of the equation. 19 + -19 + 3x = 22 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 22 + -19 3x = 22 + -19 Combine like terms: 22 + -19 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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