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Simplifying 8x = 2(3x + 5) + 0.50(6x + -16) Reorder the terms: 8x = 2(5 + 3x) + 0.50(6x + -16) 8x = (5 * 2 + 3x * 2) + 0.50(6x + -16) 8x = (10 + 6x) + 0.50(6x + -16) Reorder the terms: 8x = 10 + 6x + 0.50(-16 + 6x) 8x = 10 + 6x + (-16 * 0.50 + 6x * 0.50) 8x = 10 + 6x + (-8 + 3x) Reorder the terms: 8x = 10 + -8 + 6x + 3x Combine like terms: 10 + -8 = 2 8x = 2 + 6x + 3x Combine like terms: 6x + 3x = 9x 8x = 2 + 9x Solving 8x = 2 + 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. 8x + -9x = 2 + 9x + -9x Combine like terms: 8x + -9x = -1x -1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -1x = 2 + 0 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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