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Simplifying x + 2(x + -3) = 2(x + 1) Reorder the terms: x + 2(-3 + x) = 2(x + 1) x + (-3 * 2 + x * 2) = 2(x + 1) x + (-6 + 2x) = 2(x + 1) Reorder the terms: -6 + x + 2x = 2(x + 1) Combine like terms: x + 2x = 3x -6 + 3x = 2(x + 1) Reorder the terms: -6 + 3x = 2(1 + x) -6 + 3x = (1 * 2 + x * 2) -6 + 3x = (2 + 2x) Solving -6 + 3x = 2 + 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. -6 + 3x + -2x = 2 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 2 + 0 -6 + 1x = 2 Add '6' to each side of the equation. -6 + 6 + 1x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 2 + 6 1x = 2 + 6 Combine like terms: 2 + 6 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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