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Simplifying 9x + 5 = 0.75(8x + -16) + 2x Reorder the terms: 5 + 9x = 0.75(8x + -16) + 2x Reorder the terms: 5 + 9x = 0.75(-16 + 8x) + 2x 5 + 9x = (-16 * 0.75 + 8x * 0.75) + 2x 5 + 9x = (-12 + 6x) + 2x Combine like terms: 6x + 2x = 8x 5 + 9x = -12 + 8x Solving 5 + 9x = -12 + 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. 5 + 9x + -8x = -12 + 8x + -8x Combine like terms: 9x + -8x = 1x 5 + 1x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + 1x = -12 + 0 5 + 1x = -12 Add '-5' to each side of the equation. 5 + -5 + 1x = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -12 + -5 1x = -12 + -5 Combine like terms: -12 + -5 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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