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Simplifying x + -8 + 2(3x + 3) = -3(x + 2) Reorder the terms: x + -8 + 2(3 + 3x) = -3(x + 2) x + -8 + (3 * 2 + 3x * 2) = -3(x + 2) x + -8 + (6 + 6x) = -3(x + 2) Reorder the terms: -8 + 6 + x + 6x = -3(x + 2) Combine like terms: -8 + 6 = -2 -2 + x + 6x = -3(x + 2) Combine like terms: x + 6x = 7x -2 + 7x = -3(x + 2) Reorder the terms: -2 + 7x = -3(2 + x) -2 + 7x = (2 * -3 + x * -3) -2 + 7x = (-6 + -3x) Solving -2 + 7x = -6 + -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 + 7x + 3x = -6 + -3x + 3x Combine like terms: 7x + 3x = 10x -2 + 10x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 10x = -6 + 0 -2 + 10x = -6 Add '2' to each side of the equation. -2 + 2 + 10x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -6 + 2 10x = -6 + 2 Combine like terms: -6 + 2 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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