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Simplifying 17.5 + 4x = 6.5(3x + -6) Reorder the terms: 17.5 + 4x = 6.5(-6 + 3x) 17.5 + 4x = (-6 * 6.5 + 3x * 6.5) 17.5 + 4x = (-39 + 19.5x) Solving 17.5 + 4x = -39 + 19.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19.5x' to each side of the equation. 17.5 + 4x + -19.5x = -39 + 19.5x + -19.5x Combine like terms: 4x + -19.5x = -15.5x 17.5 + -15.5x = -39 + 19.5x + -19.5x Combine like terms: 19.5x + -19.5x = 0.0 17.5 + -15.5x = -39 + 0.0 17.5 + -15.5x = -39 Add '-17.5' to each side of the equation. 17.5 + -17.5 + -15.5x = -39 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + -15.5x = -39 + -17.5 -15.5x = -39 + -17.5 Combine like terms: -39 + -17.5 = -56.5 -15.5x = -56.5 Divide each side by '-15.5'. x = 3.64516129 Simplifying x = 3.64516129
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