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Simplifying -101 = 3 + -8(-3x + -2) Reorder the terms: -101 = 3 + -8(-2 + -3x) -101 = 3 + (-2 * -8 + -3x * -8) -101 = 3 + (16 + 24x) Combine like terms: 3 + 16 = 19 -101 = 19 + 24x Solving -101 = 19 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -101 + -24x = 19 + 24x + -24x Combine like terms: 24x + -24x = 0 -101 + -24x = 19 + 0 -101 + -24x = 19 Add '101' to each side of the equation. -101 + 101 + -24x = 19 + 101 Combine like terms: -101 + 101 = 0 0 + -24x = 19 + 101 -24x = 19 + 101 Combine like terms: 19 + 101 = 120 -24x = 120 Divide each side by '-24'. x = -5 Simplifying x = -5
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