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Simplifying 3(5x + -10) = 3x + 12 Reorder the terms: 3(-10 + 5x) = 3x + 12 (-10 * 3 + 5x * 3) = 3x + 12 (-30 + 15x) = 3x + 12 Reorder the terms: -30 + 15x = 12 + 3x Solving -30 + 15x = 12 + 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. -30 + 15x + -3x = 12 + 3x + -3x Combine like terms: 15x + -3x = 12x -30 + 12x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 12x = 12 + 0 -30 + 12x = 12 Add '30' to each side of the equation. -30 + 30 + 12x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 12 + 30 12x = 12 + 30 Combine like terms: 12 + 30 = 42 12x = 42 Divide each side by '12'. x = 3.5 Simplifying x = 3.5
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