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Simplifying 6(5x + -1) = 3(4x + -8) Reorder the terms: 6(-1 + 5x) = 3(4x + -8) (-1 * 6 + 5x * 6) = 3(4x + -8) (-6 + 30x) = 3(4x + -8) Reorder the terms: -6 + 30x = 3(-8 + 4x) -6 + 30x = (-8 * 3 + 4x * 3) -6 + 30x = (-24 + 12x) Solving -6 + 30x = -24 + 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. -6 + 30x + -12x = -24 + 12x + -12x Combine like terms: 30x + -12x = 18x -6 + 18x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 18x = -24 + 0 -6 + 18x = -24 Add '6' to each side of the equation. -6 + 6 + 18x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 18x = -24 + 6 18x = -24 + 6 Combine like terms: -24 + 6 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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