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Simplifying 0.5(8x + 11 + 9x + -7) = 8x + 6 Reorder the terms: 0.5(11 + -7 + 8x + 9x) = 8x + 6 Combine like terms: 11 + -7 = 4 0.5(4 + 8x + 9x) = 8x + 6 Combine like terms: 8x + 9x = 17x 0.5(4 + 17x) = 8x + 6 (4 * 0.5 + 17x * 0.5) = 8x + 6 (2 + 8.5x) = 8x + 6 Reorder the terms: 2 + 8.5x = 6 + 8x Solving 2 + 8.5x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + 8.5x + -8x = 6 + 8x + -8x Combine like terms: 8.5x + -8x = 0.5x 2 + 0.5x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 0.5x = 6 + 0 2 + 0.5x = 6 Add '-2' to each side of the equation. 2 + -2 + 0.5x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 6 + -2 0.5x = 6 + -2 Combine like terms: 6 + -2 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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