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Simplifying x + -7 + 2(3x + 8) = -3(x + 2) Reorder the terms: x + -7 + 2(8 + 3x) = -3(x + 2) x + -7 + (8 * 2 + 3x * 2) = -3(x + 2) x + -7 + (16 + 6x) = -3(x + 2) Reorder the terms: -7 + 16 + x + 6x = -3(x + 2) Combine like terms: -7 + 16 = 9 9 + x + 6x = -3(x + 2) Combine like terms: x + 6x = 7x 9 + 7x = -3(x + 2) Reorder the terms: 9 + 7x = -3(2 + x) 9 + 7x = (2 * -3 + x * -3) 9 + 7x = (-6 + -3x) Solving 9 + 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. 9 + 7x + 3x = -6 + -3x + 3x Combine like terms: 7x + 3x = 10x 9 + 10x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 10x = -6 + 0 9 + 10x = -6 Add '-9' to each side of the equation. 9 + -9 + 10x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = -6 + -9 10x = -6 + -9 Combine like terms: -6 + -9 = -15 10x = -15 Divide each side by '10'. x = -1.5 Simplifying x = -1.5
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