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Simplifying 101 = 2x + 5(-3x + 2) Reorder the terms: 101 = 2x + 5(2 + -3x) 101 = 2x + (2 * 5 + -3x * 5) 101 = 2x + (10 + -15x) Reorder the terms: 101 = 10 + 2x + -15x Combine like terms: 2x + -15x = -13x 101 = 10 + -13x Solving 101 = 10 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 101 + 13x = 10 + -13x + 13x Combine like terms: -13x + 13x = 0 101 + 13x = 10 + 0 101 + 13x = 10 Add '-101' to each side of the equation. 101 + -101 + 13x = 10 + -101 Combine like terms: 101 + -101 = 0 0 + 13x = 10 + -101 13x = 10 + -101 Combine like terms: 10 + -101 = -91 13x = -91 Divide each side by '13'. x = -7 Simplifying x = -7
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