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