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Simplifying 5(x + -3) + 2 = 22 Reorder the terms: 5(-3 + x) + 2 = 22 (-3 * 5 + x * 5) + 2 = 22 (-15 + 5x) + 2 = 22 Reorder the terms: -15 + 2 + 5x = 22 Combine like terms: -15 + 2 = -13 -13 + 5x = 22 Solving -13 + 5x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 5x = 22 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = 22 + 13 5x = 22 + 13 Combine like terms: 22 + 13 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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