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Simplifying 6(5x + -12) = 10x + 8 Reorder the terms: 6(-12 + 5x) = 10x + 8 (-12 * 6 + 5x * 6) = 10x + 8 (-72 + 30x) = 10x + 8 Reorder the terms: -72 + 30x = 8 + 10x Solving -72 + 30x = 8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -72 + 30x + -10x = 8 + 10x + -10x Combine like terms: 30x + -10x = 20x -72 + 20x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -72 + 20x = 8 + 0 -72 + 20x = 8 Add '72' to each side of the equation. -72 + 72 + 20x = 8 + 72 Combine like terms: -72 + 72 = 0 0 + 20x = 8 + 72 20x = 8 + 72 Combine like terms: 8 + 72 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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