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Simplifying 5(3x + 2) + 5 = 3x + 6 Reorder the terms: 5(2 + 3x) + 5 = 3x + 6 (2 * 5 + 3x * 5) + 5 = 3x + 6 (10 + 15x) + 5 = 3x + 6 Reorder the terms: 10 + 5 + 15x = 3x + 6 Combine like terms: 10 + 5 = 15 15 + 15x = 3x + 6 Reorder the terms: 15 + 15x = 6 + 3x Solving 15 + 15x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 15x + -3x = 6 + 3x + -3x Combine like terms: 15x + -3x = 12x 15 + 12x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 12x = 6 + 0 15 + 12x = 6 Add '-15' to each side of the equation. 15 + -15 + 12x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 6 + -15 12x = 6 + -15 Combine like terms: 6 + -15 = -9 12x = -9 Divide each side by '12'. x = -0.75 Simplifying x = -0.75
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