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Simplifying -3(2 + x) = 6 + 2(x + 1) (2 * -3 + x * -3) = 6 + 2(x + 1) (-6 + -3x) = 6 + 2(x + 1) Reorder the terms: -6 + -3x = 6 + 2(1 + x) -6 + -3x = 6 + (1 * 2 + x * 2) -6 + -3x = 6 + (2 + 2x) Combine like terms: 6 + 2 = 8 -6 + -3x = 8 + 2x Solving -6 + -3x = 8 + 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 = 8 + 2x + -2x Combine like terms: -3x + -2x = -5x -6 + -5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -5x = 8 + 0 -6 + -5x = 8 Add '6' to each side of the equation. -6 + 6 + -5x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 8 + 6 -5x = 8 + 6 Combine like terms: 8 + 6 = 14 -5x = 14 Divide each side by '-5'. x = -2.8 Simplifying x = -2.8
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