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Simplifying -2 = 5(3x + 1) + -12x Reorder the terms: -2 = 5(1 + 3x) + -12x -2 = (1 * 5 + 3x * 5) + -12x -2 = (5 + 15x) + -12x Combine like terms: 15x + -12x = 3x -2 = 5 + 3x Solving -2 = 5 + 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. -2 + -3x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -3x = 5 + 0 -2 + -3x = 5 Add '2' to each side of the equation. -2 + 2 + -3x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 5 + 2 -3x = 5 + 2 Combine like terms: 5 + 2 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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