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Simplifying 4.5 + 3.4 = 1.5x + -2.6 Combine like terms: 4.5 + 3.4 = 7.9 7.9 = 1.5x + -2.6 Reorder the terms: 7.9 = -2.6 + 1.5x Solving 7.9 = -2.6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 7.9 + -1.5x = -2.6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 7.9 + -1.5x = -2.6 + 0.0 7.9 + -1.5x = -2.6 Add '-7.9' to each side of the equation. 7.9 + -7.9 + -1.5x = -2.6 + -7.9 Combine like terms: 7.9 + -7.9 = 0.0 0.0 + -1.5x = -2.6 + -7.9 -1.5x = -2.6 + -7.9 Combine like terms: -2.6 + -7.9 = -10.5 -1.5x = -10.5 Divide each side by '-1.5'. x = 7 Simplifying x = 7
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