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Simplifying 4(x + 1) + 1 + (-1x) = 10 + x Reorder the terms: 4(1 + x) + 1 + (-1x) = 10 + x (1 * 4 + x * 4) + 1 + (-1x) = 10 + x (4 + 4x) + 1 + (-1x) = 10 + x Reorder the terms: 4 + 1 + 4x + (-1x) = 10 + x Combine like terms: 4 + 1 = 5 5 + 4x + (-1x) = 10 + x Combine like terms: 4x + (-1x) = 3x 5 + 3x = 10 + x Solving 5 + 3x = 10 + 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. 5 + 3x + -1x = 10 + x + -1x Combine like terms: 3x + -1x = 2x 5 + 2x = 10 + x + -1x Combine like terms: x + -1x = 0 5 + 2x = 10 + 0 5 + 2x = 10 Add '-5' to each side of the equation. 5 + -5 + 2x = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 10 + -5 2x = 10 + -5 Combine like terms: 10 + -5 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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