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Simplifying 0.5(16 + 8x) = 9x + -7 (16 * 0.5 + 8x * 0.5) = 9x + -7 (8 + 4x) = 9x + -7 Reorder the terms: 8 + 4x = -7 + 9x Solving 8 + 4x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 4x + -9x = -7 + 9x + -9x Combine like terms: 4x + -9x = -5x 8 + -5x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 8 + -5x = -7 + 0 8 + -5x = -7 Add '-8' to each side of the equation. 8 + -8 + -5x = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -7 + -8 -5x = -7 + -8 Combine like terms: -7 + -8 = -15 -5x = -15 Divide each side by '-5'. x = 3 Simplifying x = 3
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