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Simplifying 10(x + -3) = -2x + 30 Reorder the terms: 10(-3 + x) = -2x + 30 (-3 * 10 + x * 10) = -2x + 30 (-30 + 10x) = -2x + 30 Reorder the terms: -30 + 10x = 30 + -2x Solving -30 + 10x = 30 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 10x + 2x = 30 + -2x + 2x Combine like terms: 10x + 2x = 12x -30 + 12x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 12x = 30 + 0 -30 + 12x = 30 Add '30' to each side of the equation. -30 + 30 + 12x = 30 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 30 + 30 12x = 30 + 30 Combine like terms: 30 + 30 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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