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Simplifying 114 + 1x = 8x + 2.5x Combine like terms: 8x + 2.5x = 10.5x 114 + 1x = 10.5x Solving 114 + 1x = 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. 114 + 1x + -10.5x = 10.5x + -10.5x Combine like terms: 1x + -10.5x = -9.5x 114 + -9.5x = 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 114 + -9.5x = 0.0 Add '-114' to each side of the equation. 114 + -114 + -9.5x = 0.0 + -114 Combine like terms: 114 + -114 = 0 0 + -9.5x = 0.0 + -114 -9.5x = 0.0 + -114 Combine like terms: 0.0 + -114 = -114 -9.5x = -114 Divide each side by '-9.5'. x = 12 Simplifying x = 12
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