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Simplifying 105 = 30 + 5(4x + -9) Reorder the terms: 105 = 30 + 5(-9 + 4x) 105 = 30 + (-9 * 5 + 4x * 5) 105 = 30 + (-45 + 20x) Combine like terms: 30 + -45 = -15 105 = -15 + 20x Solving 105 = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 105 + -20x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 105 + -20x = -15 + 0 105 + -20x = -15 Add '-105' to each side of the equation. 105 + -105 + -20x = -15 + -105 Combine like terms: 105 + -105 = 0 0 + -20x = -15 + -105 -20x = -15 + -105 Combine like terms: -15 + -105 = -120 -20x = -120 Divide each side by '-20'. x = 6 Simplifying x = 6
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