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Simplifying 1.3x + 14.6 = 3.5x + -3 Reorder the terms: 14.6 + 1.3x = 3.5x + -3 Reorder the terms: 14.6 + 1.3x = -3 + 3.5x Solving 14.6 + 1.3x = -3 + 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. 14.6 + 1.3x + -3.5x = -3 + 3.5x + -3.5x Combine like terms: 1.3x + -3.5x = -2.2x 14.6 + -2.2x = -3 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 14.6 + -2.2x = -3 + 0.0 14.6 + -2.2x = -3 Add '-14.6' to each side of the equation. 14.6 + -14.6 + -2.2x = -3 + -14.6 Combine like terms: 14.6 + -14.6 = 0.0 0.0 + -2.2x = -3 + -14.6 -2.2x = -3 + -14.6 Combine like terms: -3 + -14.6 = -17.6 -2.2x = -17.6 Divide each side by '-2.2'. x = 8 Simplifying x = 8
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