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Simplifying 15x + -6 = 3x + -42 Reorder the terms: -6 + 15x = 3x + -42 Reorder the terms: -6 + 15x = -42 + 3x Solving -6 + 15x = -42 + 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. -6 + 15x + -3x = -42 + 3x + -3x Combine like terms: 15x + -3x = 12x -6 + 12x = -42 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 12x = -42 + 0 -6 + 12x = -42 Add '6' to each side of the equation. -6 + 6 + 12x = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -42 + 6 12x = -42 + 6 Combine like terms: -42 + 6 = -36 12x = -36 Divide each side by '12'. x = -3 Simplifying x = -3
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