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Simplifying 6x + -2(x + 1) = 3(x + -2) + 6 Reorder the terms: 6x + -2(1 + x) = 3(x + -2) + 6 6x + (1 * -2 + x * -2) = 3(x + -2) + 6 6x + (-2 + -2x) = 3(x + -2) + 6 Reorder the terms: -2 + 6x + -2x = 3(x + -2) + 6 Combine like terms: 6x + -2x = 4x -2 + 4x = 3(x + -2) + 6 Reorder the terms: -2 + 4x = 3(-2 + x) + 6 -2 + 4x = (-2 * 3 + x * 3) + 6 -2 + 4x = (-6 + 3x) + 6 Reorder the terms: -2 + 4x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 -2 + 4x = 0 + 3x -2 + 4x = 3x Solving -2 + 4x = 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 = 3x + -3x Combine like terms: 4x + -3x = 1x -2 + 1x = 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 1x = 0 Add '2' to each side of the equation. -2 + 2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 0 + 2 1x = 0 + 2 Combine like terms: 0 + 2 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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