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Simplifying 2(x + -3) = 6(x + 2) + 2x Reorder the terms: 2(-3 + x) = 6(x + 2) + 2x (-3 * 2 + x * 2) = 6(x + 2) + 2x (-6 + 2x) = 6(x + 2) + 2x Reorder the terms: -6 + 2x = 6(2 + x) + 2x -6 + 2x = (2 * 6 + x * 6) + 2x -6 + 2x = (12 + 6x) + 2x Combine like terms: 6x + 2x = 8x -6 + 2x = 12 + 8x Solving -6 + 2x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6 + 2x + -8x = 12 + 8x + -8x Combine like terms: 2x + -8x = -6x -6 + -6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -6x = 12 + 0 -6 + -6x = 12 Add '6' to each side of the equation. -6 + 6 + -6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 12 + 6 -6x = 12 + 6 Combine like terms: 12 + 6 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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