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