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Simplifying 101 = -5x + 3(4x + 15) Reorder the terms: 101 = -5x + 3(15 + 4x) 101 = -5x + (15 * 3 + 4x * 3) 101 = -5x + (45 + 12x) Reorder the terms: 101 = 45 + -5x + 12x Combine like terms: -5x + 12x = 7x 101 = 45 + 7x Solving 101 = 45 + 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 = 45 + 7x + -7x Combine like terms: 7x + -7x = 0 101 + -7x = 45 + 0 101 + -7x = 45 Add '-101' to each side of the equation. 101 + -101 + -7x = 45 + -101 Combine like terms: 101 + -101 = 0 0 + -7x = 45 + -101 -7x = 45 + -101 Combine like terms: 45 + -101 = -56 -7x = -56 Divide each side by '-7'. x = 8 Simplifying x = 8
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