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Simplifying 5(2x + -6) = 3(x + 4) Reorder the terms: 5(-6 + 2x) = 3(x + 4) (-6 * 5 + 2x * 5) = 3(x + 4) (-30 + 10x) = 3(x + 4) Reorder the terms: -30 + 10x = 3(4 + x) -30 + 10x = (4 * 3 + x * 3) -30 + 10x = (12 + 3x) Solving -30 + 10x = 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 + 10x + -3x = 12 + 3x + -3x Combine like terms: 10x + -3x = 7x -30 + 7x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + 7x = 12 + 0 -30 + 7x = 12 Add '30' to each side of the equation. -30 + 30 + 7x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 12 + 30 7x = 12 + 30 Combine like terms: 12 + 30 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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