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Simplifying 105 = 3x + 5(3x + 3) Reorder the terms: 105 = 3x + 5(3 + 3x) 105 = 3x + (3 * 5 + 3x * 5) 105 = 3x + (15 + 15x) Reorder the terms: 105 = 15 + 3x + 15x Combine like terms: 3x + 15x = 18x 105 = 15 + 18x Solving 105 = 15 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 105 + -18x = 15 + 18x + -18x Combine like terms: 18x + -18x = 0 105 + -18x = 15 + 0 105 + -18x = 15 Add '-105' to each side of the equation. 105 + -105 + -18x = 15 + -105 Combine like terms: 105 + -105 = 0 0 + -18x = 15 + -105 -18x = 15 + -105 Combine like terms: 15 + -105 = -90 -18x = -90 Divide each side by '-18'. x = 5 Simplifying x = 5
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