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Simplifying 116.25 = 10 + x + -0.15x Combine like terms: x + -0.15x = 0.85x 116.25 = 10 + 0.85x Solving 116.25 = 10 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. 116.25 + -0.85x = 10 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 116.25 + -0.85x = 10 + 0.00 116.25 + -0.85x = 10 Add '-116.25' to each side of the equation. 116.25 + -116.25 + -0.85x = 10 + -116.25 Combine like terms: 116.25 + -116.25 = 0.00 0.00 + -0.85x = 10 + -116.25 -0.85x = 10 + -116.25 Combine like terms: 10 + -116.25 = -106.25 -0.85x = -106.25 Divide each side by '-0.85'. x = 125 Simplifying x = 125
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