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Simplifying 6x + -2(x + 1) = 3x + 10 Reorder the terms: 6x + -2(1 + x) = 3x + 10 6x + (1 * -2 + x * -2) = 3x + 10 6x + (-2 + -2x) = 3x + 10 Reorder the terms: -2 + 6x + -2x = 3x + 10 Combine like terms: 6x + -2x = 4x -2 + 4x = 3x + 10 Reorder the terms: -2 + 4x = 10 + 3x Solving -2 + 4x = 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 + 4x + -3x = 10 + 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 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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