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Simplifying 0.8x + 9 = 8(0.6x + -2) Reorder the terms: 9 + 0.8x = 8(0.6x + -2) Reorder the terms: 9 + 0.8x = 8(-2 + 0.6x) 9 + 0.8x = (-2 * 8 + 0.6x * 8) 9 + 0.8x = (-16 + 4.8x) Solving 9 + 0.8x = -16 + 4.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8x' to each side of the equation. 9 + 0.8x + -4.8x = -16 + 4.8x + -4.8x Combine like terms: 0.8x + -4.8x = -4x 9 + -4x = -16 + 4.8x + -4.8x Combine like terms: 4.8x + -4.8x = 0.0 9 + -4x = -16 + 0.0 9 + -4x = -16 Add '-9' to each side of the equation. 9 + -9 + -4x = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = -16 + -9 -4x = -16 + -9 Combine like terms: -16 + -9 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25
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