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Simplifying 5x + -2(x + 1) = 52 Reorder the terms: 5x + -2(1 + x) = 52 5x + (1 * -2 + x * -2) = 52 5x + (-2 + -2x) = 52 Reorder the terms: -2 + 5x + -2x = 52 Combine like terms: 5x + -2x = 3x -2 + 3x = 52 Solving -2 + 3x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3x = 52 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 52 + 2 3x = 52 + 2 Combine like terms: 52 + 2 = 54 3x = 54 Divide each side by '3'. x = 18 Simplifying x = 18
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