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Simplifying 5x + -2 = -2(x + -13) Reorder the terms: -2 + 5x = -2(x + -13) Reorder the terms: -2 + 5x = -2(-13 + x) -2 + 5x = (-13 * -2 + x * -2) -2 + 5x = (26 + -2x) Solving -2 + 5x = 26 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -2 + 5x + 2x = 26 + -2x + 2x Combine like terms: 5x + 2x = 7x -2 + 7x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 7x = 26 + 0 -2 + 7x = 26 Add '2' to each side of the equation. -2 + 2 + 7x = 26 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 26 + 2 7x = 26 + 2 Combine like terms: 26 + 2 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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