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Simplifying 5(3x + 1) = 2 + 3(x + -1) Reorder the terms: 5(1 + 3x) = 2 + 3(x + -1) (1 * 5 + 3x * 5) = 2 + 3(x + -1) (5 + 15x) = 2 + 3(x + -1) Reorder the terms: 5 + 15x = 2 + 3(-1 + x) 5 + 15x = 2 + (-1 * 3 + x * 3) 5 + 15x = 2 + (-3 + 3x) Combine like terms: 2 + -3 = -1 5 + 15x = -1 + 3x Solving 5 + 15x = -1 + 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. 5 + 15x + -3x = -1 + 3x + -3x Combine like terms: 15x + -3x = 12x 5 + 12x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 12x = -1 + 0 5 + 12x = -1 Add '-5' to each side of the equation. 5 + -5 + 12x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = -1 + -5 12x = -1 + -5 Combine like terms: -1 + -5 = -6 12x = -6 Divide each side by '12'. x = -0.5 Simplifying x = -0.5
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