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Simplifying 5x + 5(2x + -7) = -13 + -7x Reorder the terms: 5x + 5(-7 + 2x) = -13 + -7x 5x + (-7 * 5 + 2x * 5) = -13 + -7x 5x + (-35 + 10x) = -13 + -7x Reorder the terms: -35 + 5x + 10x = -13 + -7x Combine like terms: 5x + 10x = 15x -35 + 15x = -13 + -7x Solving -35 + 15x = -13 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -35 + 15x + 7x = -13 + -7x + 7x Combine like terms: 15x + 7x = 22x -35 + 22x = -13 + -7x + 7x Combine like terms: -7x + 7x = 0 -35 + 22x = -13 + 0 -35 + 22x = -13 Add '35' to each side of the equation. -35 + 35 + 22x = -13 + 35 Combine like terms: -35 + 35 = 0 0 + 22x = -13 + 35 22x = -13 + 35 Combine like terms: -13 + 35 = 22 22x = 22 Divide each side by '22'. x = 1 Simplifying x = 1
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