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Simplifying 1.3x + 7.8 = 3.5x + -1 Reorder the terms: 7.8 + 1.3x = 3.5x + -1 Reorder the terms: 7.8 + 1.3x = -1 + 3.5x Solving 7.8 + 1.3x = -1 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 7.8 + 1.3x + -3.5x = -1 + 3.5x + -3.5x Combine like terms: 1.3x + -3.5x = -2.2x 7.8 + -2.2x = -1 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 7.8 + -2.2x = -1 + 0.0 7.8 + -2.2x = -1 Add '-7.8' to each side of the equation. 7.8 + -7.8 + -2.2x = -1 + -7.8 Combine like terms: 7.8 + -7.8 = 0.0 0.0 + -2.2x = -1 + -7.8 -2.2x = -1 + -7.8 Combine like terms: -1 + -7.8 = -8.8 -2.2x = -8.8 Divide each side by '-2.2'. x = 4 Simplifying x = 4
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