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Simplifying 6(5x + -8) = 2(3 + 6x) Reorder the terms: 6(-8 + 5x) = 2(3 + 6x) (-8 * 6 + 5x * 6) = 2(3 + 6x) (-48 + 30x) = 2(3 + 6x) -48 + 30x = (3 * 2 + 6x * 2) -48 + 30x = (6 + 12x) Solving -48 + 30x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -48 + 30x + -12x = 6 + 12x + -12x Combine like terms: 30x + -12x = 18x -48 + 18x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -48 + 18x = 6 + 0 -48 + 18x = 6 Add '48' to each side of the equation. -48 + 48 + 18x = 6 + 48 Combine like terms: -48 + 48 = 0 0 + 18x = 6 + 48 18x = 6 + 48 Combine like terms: 6 + 48 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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