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Simplifying 5 + 2(x + 3) = 10 + -1(3x + -13) Reorder the terms: 5 + 2(3 + x) = 10 + -1(3x + -13) 5 + (3 * 2 + x * 2) = 10 + -1(3x + -13) 5 + (6 + 2x) = 10 + -1(3x + -13) Combine like terms: 5 + 6 = 11 11 + 2x = 10 + -1(3x + -13) Reorder the terms: 11 + 2x = 10 + -1(-13 + 3x) 11 + 2x = 10 + (-13 * -1 + 3x * -1) 11 + 2x = 10 + (13 + -3x) Combine like terms: 10 + 13 = 23 11 + 2x = 23 + -3x Solving 11 + 2x = 23 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 11 + 2x + 3x = 23 + -3x + 3x Combine like terms: 2x + 3x = 5x 11 + 5x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 11 + 5x = 23 + 0 11 + 5x = 23 Add '-11' to each side of the equation. 11 + -11 + 5x = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 23 + -11 5x = 23 + -11 Combine like terms: 23 + -11 = 12 5x = 12 Divide each side by '5'. x = 2.4 Simplifying x = 2.4
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