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Simplifying 1 + 2(x + 2) = -3x + 9 + -2(8 + x) Reorder the terms: 1 + 2(2 + x) = -3x + 9 + -2(8 + x) 1 + (2 * 2 + x * 2) = -3x + 9 + -2(8 + x) 1 + (4 + 2x) = -3x + 9 + -2(8 + x) Combine like terms: 1 + 4 = 5 5 + 2x = -3x + 9 + -2(8 + x) 5 + 2x = -3x + 9 + (8 * -2 + x * -2) 5 + 2x = -3x + 9 + (-16 + -2x) Reorder the terms: 5 + 2x = 9 + -16 + -3x + -2x Combine like terms: 9 + -16 = -7 5 + 2x = -7 + -3x + -2x Combine like terms: -3x + -2x = -5x 5 + 2x = -7 + -5x Solving 5 + 2x = -7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 2x + 5x = -7 + -5x + 5x Combine like terms: 2x + 5x = 7x 5 + 7x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 7x = -7 + 0 5 + 7x = -7 Add '-5' to each side of the equation. 5 + -5 + 7x = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -7 + -5 7x = -7 + -5 Combine like terms: -7 + -5 = -12 7x = -12 Divide each side by '7'. x = -1.714285714 Simplifying x = -1.714285714
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