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Simplifying 5(x + -2) = x + 74 Reorder the terms: 5(-2 + x) = x + 74 (-2 * 5 + x * 5) = x + 74 (-10 + 5x) = x + 74 Reorder the terms: -10 + 5x = 74 + x Solving -10 + 5x = 74 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 5x + -1x = 74 + x + -1x Combine like terms: 5x + -1x = 4x -10 + 4x = 74 + x + -1x Combine like terms: x + -1x = 0 -10 + 4x = 74 + 0 -10 + 4x = 74 Add '10' to each side of the equation. -10 + 10 + 4x = 74 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 74 + 10 4x = 74 + 10 Combine like terms: 74 + 10 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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