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Simplifying 2(8x + 4) + -9x = 2x + -2 Reorder the terms: 2(4 + 8x) + -9x = 2x + -2 (4 * 2 + 8x * 2) + -9x = 2x + -2 (8 + 16x) + -9x = 2x + -2 Combine like terms: 16x + -9x = 7x 8 + 7x = 2x + -2 Reorder the terms: 8 + 7x = -2 + 2x Solving 8 + 7x = -2 + 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. 8 + 7x + -2x = -2 + 2x + -2x Combine like terms: 7x + -2x = 5x 8 + 5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 5x = -2 + 0 8 + 5x = -2 Add '-8' to each side of the equation. 8 + -8 + 5x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = -2 + -8 5x = -2 + -8 Combine like terms: -2 + -8 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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