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Simplifying 4x + -1(2 + x) = 10 + 2x 4x + (2 * -1 + x * -1) = 10 + 2x 4x + (-2 + -1x) = 10 + 2x Reorder the terms: -2 + 4x + -1x = 10 + 2x Combine like terms: 4x + -1x = 3x -2 + 3x = 10 + 2x Solving -2 + 3x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 3x + -2x = 10 + 2x + -2x Combine like terms: 3x + -2x = 1x -2 + 1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 1x = 10 + 0 -2 + 1x = 10 Add '2' to each side of the equation. -2 + 2 + 1x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 10 + 2 1x = 10 + 2 Combine like terms: 10 + 2 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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