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Simplifying -101 = 5x + 4(-3x + -13) Reorder the terms: -101 = 5x + 4(-13 + -3x) -101 = 5x + (-13 * 4 + -3x * 4) -101 = 5x + (-52 + -12x) Reorder the terms: -101 = -52 + 5x + -12x Combine like terms: 5x + -12x = -7x -101 = -52 + -7x Solving -101 = -52 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -101 + 7x = -52 + -7x + 7x Combine like terms: -7x + 7x = 0 -101 + 7x = -52 + 0 -101 + 7x = -52 Add '101' to each side of the equation. -101 + 101 + 7x = -52 + 101 Combine like terms: -101 + 101 = 0 0 + 7x = -52 + 101 7x = -52 + 101 Combine like terms: -52 + 101 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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