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Simplifying -5(3 + -4x) = 6(x + 2) + 1 (3 * -5 + -4x * -5) = 6(x + 2) + 1 (-15 + 20x) = 6(x + 2) + 1 Reorder the terms: -15 + 20x = 6(2 + x) + 1 -15 + 20x = (2 * 6 + x * 6) + 1 -15 + 20x = (12 + 6x) + 1 Reorder the terms: -15 + 20x = 12 + 1 + 6x Combine like terms: 12 + 1 = 13 -15 + 20x = 13 + 6x Solving -15 + 20x = 13 + 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. -15 + 20x + -6x = 13 + 6x + -6x Combine like terms: 20x + -6x = 14x -15 + 14x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 14x = 13 + 0 -15 + 14x = 13 Add '15' to each side of the equation. -15 + 15 + 14x = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 14x = 13 + 15 14x = 13 + 15 Combine like terms: 13 + 15 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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