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Simplifying 5(4x + -6) = 2(3x + 2) + -6 Reorder the terms: 5(-6 + 4x) = 2(3x + 2) + -6 (-6 * 5 + 4x * 5) = 2(3x + 2) + -6 (-30 + 20x) = 2(3x + 2) + -6 Reorder the terms: -30 + 20x = 2(2 + 3x) + -6 -30 + 20x = (2 * 2 + 3x * 2) + -6 -30 + 20x = (4 + 6x) + -6 Reorder the terms: -30 + 20x = 4 + -6 + 6x Combine like terms: 4 + -6 = -2 -30 + 20x = -2 + 6x Solving -30 + 20x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 20x + -6x = -2 + 6x + -6x Combine like terms: 20x + -6x = 14x -30 + 14x = -2 + 6x + -6x Combine like terms: 6x + -6x = 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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