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Simplifying 25.5 = 6.5 + 8(x + -7.5) Reorder the terms: 25.5 = 6.5 + 8(-7.5 + x) 25.5 = 6.5 + (-7.5 * 8 + x * 8) 25.5 = 6.5 + (-60 + 8x) Combine like terms: 6.5 + -60 = -53.5 25.5 = -53.5 + 8x Solving 25.5 = -53.5 + 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. 25.5 + -8x = -53.5 + 8x + -8x Combine like terms: 8x + -8x = 0 25.5 + -8x = -53.5 + 0 25.5 + -8x = -53.5 Add '-25.5' to each side of the equation. 25.5 + -25.5 + -8x = -53.5 + -25.5 Combine like terms: 25.5 + -25.5 = 0.0 0.0 + -8x = -53.5 + -25.5 -8x = -53.5 + -25.5 Combine like terms: -53.5 + -25.5 = -79 -8x = -79 Divide each side by '-8'. x = 9.875 Simplifying x = 9.875
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