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Simplifying 5(2x + -6) = x + 6 + -3x Reorder the terms: 5(-6 + 2x) = x + 6 + -3x (-6 * 5 + 2x * 5) = x + 6 + -3x (-30 + 10x) = x + 6 + -3x Reorder the terms: -30 + 10x = 6 + x + -3x Combine like terms: x + -3x = -2x -30 + 10x = 6 + -2x Solving -30 + 10x = 6 + -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 = 6 + -2x + 2x Combine like terms: 10x + 2x = 12x -30 + 12x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 12x = 6 + 0 -30 + 12x = 6 Add '30' to each side of the equation. -30 + 30 + 12x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 12x = 6 + 30 12x = 6 + 30 Combine like terms: 6 + 30 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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