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Simplifying 105 = 5x + -5(4x + 9) Reorder the terms: 105 = 5x + -5(9 + 4x) 105 = 5x + (9 * -5 + 4x * -5) 105 = 5x + (-45 + -20x) Reorder the terms: 105 = -45 + 5x + -20x Combine like terms: 5x + -20x = -15x 105 = -45 + -15x Solving 105 = -45 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 105 + 15x = -45 + -15x + 15x Combine like terms: -15x + 15x = 0 105 + 15x = -45 + 0 105 + 15x = -45 Add '-105' to each side of the equation. 105 + -105 + 15x = -45 + -105 Combine like terms: 105 + -105 = 0 0 + 15x = -45 + -105 15x = -45 + -105 Combine like terms: -45 + -105 = -150 15x = -150 Divide each side by '15'. x = -10 Simplifying x = -10
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