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Simplifying 5x + 2(x + -1) = 3x + 10 Reorder the terms: 5x + 2(-1 + x) = 3x + 10 5x + (-1 * 2 + x * 2) = 3x + 10 5x + (-2 + 2x) = 3x + 10 Reorder the terms: -2 + 5x + 2x = 3x + 10 Combine like terms: 5x + 2x = 7x -2 + 7x = 3x + 10 Reorder the terms: -2 + 7x = 10 + 3x Solving -2 + 7x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x -2 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 4x = 10 + 0 -2 + 4x = 10 Add '2' to each side of the equation. -2 + 2 + 4x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 10 + 2 4x = 10 + 2 Combine like terms: 10 + 2 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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