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Simplifying 5x + -3(5x + 13) = 101 Reorder the terms: 5x + -3(13 + 5x) = 101 5x + (13 * -3 + 5x * -3) = 101 5x + (-39 + -15x) = 101 Reorder the terms: -39 + 5x + -15x = 101 Combine like terms: 5x + -15x = -10x -39 + -10x = 101 Solving -39 + -10x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + -10x = 101 + 39 Combine like terms: -39 + 39 = 0 0 + -10x = 101 + 39 -10x = 101 + 39 Combine like terms: 101 + 39 = 140 -10x = 140 Divide each side by '-10'. x = -14 Simplifying x = -14
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