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Simplifying 10x + -1(3x + 5) + 13 = 5x Reorder the terms: 10x + -1(5 + 3x) + 13 = 5x 10x + (5 * -1 + 3x * -1) + 13 = 5x 10x + (-5 + -3x) + 13 = 5x Reorder the terms: -5 + 13 + 10x + -3x = 5x Combine like terms: -5 + 13 = 8 8 + 10x + -3x = 5x Combine like terms: 10x + -3x = 7x 8 + 7x = 5x Solving 8 + 7x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 7x + -5x = 5x + -5x Combine like terms: 7x + -5x = 2x 8 + 2x = 5x + -5x Combine like terms: 5x + -5x = 0 8 + 2x = 0 Add '-8' to each side of the equation. 8 + -8 + 2x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 0 + -8 2x = 0 + -8 Combine like terms: 0 + -8 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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