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Simplifying 3(x + 1) * 5 = 3x + -2 Reorder the terms: 3(1 + x) * 5 = 3x + -2 Reorder the terms for easier multiplication: 3 * 5(1 + x) = 3x + -2 Multiply 3 * 5 15(1 + x) = 3x + -2 (1 * 15 + x * 15) = 3x + -2 (15 + 15x) = 3x + -2 Reorder the terms: 15 + 15x = -2 + 3x Solving 15 + 15x = -2 + 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 = -2 + 3x + -3x Combine like terms: 15x + -3x = 12x 15 + 12x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + 12x = -2 + 0 15 + 12x = -2 Add '-15' to each side of the equation. 15 + -15 + 12x = -2 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = -2 + -15 12x = -2 + -15 Combine like terms: -2 + -15 = -17 12x = -17 Divide each side by '12'. x = -1.416666667 Simplifying x = -1.416666667
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