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Simplifying 2x + 3 = 13 + -1(3x + -10) Reorder the terms: 3 + 2x = 13 + -1(3x + -10) Reorder the terms: 3 + 2x = 13 + -1(-10 + 3x) 3 + 2x = 13 + (-10 * -1 + 3x * -1) 3 + 2x = 13 + (10 + -3x) Combine like terms: 13 + 10 = 23 3 + 2x = 23 + -3x Solving 3 + 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. 3 + 2x + 3x = 23 + -3x + 3x Combine like terms: 2x + 3x = 5x 3 + 5x = 23 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 5x = 23 + 0 3 + 5x = 23 Add '-3' to each side of the equation. 3 + -3 + 5x = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 23 + -3 5x = 23 + -3 Combine like terms: 23 + -3 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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