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Simplifying 6(4x + -5) = 2(5x + -1) Reorder the terms: 6(-5 + 4x) = 2(5x + -1) (-5 * 6 + 4x * 6) = 2(5x + -1) (-30 + 24x) = 2(5x + -1) Reorder the terms: -30 + 24x = 2(-1 + 5x) -30 + 24x = (-1 * 2 + 5x * 2) -30 + 24x = (-2 + 10x) Solving -30 + 24x = -2 + 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. -30 + 24x + -10x = -2 + 10x + -10x Combine like terms: 24x + -10x = 14x -30 + 14x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -30 + 14x = -2 + 0 -30 + 14x = -2 Add '30' to each side of the equation. -30 + 30 + 14x = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = -2 + 30 14x = -2 + 30 Combine like terms: -2 + 30 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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