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Simplifying 5x + -1(2x + 10) = x + 13 Reorder the terms: 5x + -1(10 + 2x) = x + 13 5x + (10 * -1 + 2x * -1) = x + 13 5x + (-10 + -2x) = x + 13 Reorder the terms: -10 + 5x + -2x = x + 13 Combine like terms: 5x + -2x = 3x -10 + 3x = x + 13 Reorder the terms: -10 + 3x = 13 + x Solving -10 + 3x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 3x + -1x = 13 + x + -1x Combine like terms: 3x + -1x = 2x -10 + 2x = 13 + x + -1x Combine like terms: x + -1x = 0 -10 + 2x = 13 + 0 -10 + 2x = 13 Add '10' to each side of the equation. -10 + 10 + 2x = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 13 + 10 2x = 13 + 10 Combine like terms: 13 + 10 = 23 2x = 23 Divide each side by '2'. x = 11.5 Simplifying x = 11.5
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