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Simplifying 2.5x + 7 + -1.5x = 9.5x + -3.5 Reorder the terms: 7 + 2.5x + -1.5x = 9.5x + -3.5 Combine like terms: 2.5x + -1.5x = 1x 7 + 1x = 9.5x + -3.5 Reorder the terms: 7 + 1x = -3.5 + 9.5x Solving 7 + 1x = -3.5 + 9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.5x' to each side of the equation. 7 + 1x + -9.5x = -3.5 + 9.5x + -9.5x Combine like terms: 1x + -9.5x = -8.5x 7 + -8.5x = -3.5 + 9.5x + -9.5x Combine like terms: 9.5x + -9.5x = 0.0 7 + -8.5x = -3.5 + 0.0 7 + -8.5x = -3.5 Add '-7' to each side of the equation. 7 + -7 + -8.5x = -3.5 + -7 Combine like terms: 7 + -7 = 0 0 + -8.5x = -3.5 + -7 -8.5x = -3.5 + -7 Combine like terms: -3.5 + -7 = -10.5 -8.5x = -10.5 Divide each side by '-8.5'. x = 1.235294118 Simplifying x = 1.235294118
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