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Simplifying 5(x + -7) = 13x + 7x + -2 Reorder the terms: 5(-7 + x) = 13x + 7x + -2 (-7 * 5 + x * 5) = 13x + 7x + -2 (-35 + 5x) = 13x + 7x + -2 Reorder the terms: -35 + 5x = -2 + 13x + 7x Combine like terms: 13x + 7x = 20x -35 + 5x = -2 + 20x Solving -35 + 5x = -2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -35 + 5x + -20x = -2 + 20x + -20x Combine like terms: 5x + -20x = -15x -35 + -15x = -2 + 20x + -20x Combine like terms: 20x + -20x = 0 -35 + -15x = -2 + 0 -35 + -15x = -2 Add '35' to each side of the equation. -35 + 35 + -15x = -2 + 35 Combine like terms: -35 + 35 = 0 0 + -15x = -2 + 35 -15x = -2 + 35 Combine like terms: -2 + 35 = 33 -15x = 33 Divide each side by '-15'. x = -2.2 Simplifying x = -2.2
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