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Simplifying 6x(3.4 + 6.2) = 15.2(6x + -13) Combine like terms: 3.4 + 6.2 = 9.6 6x(9.6) = 15.2(6x + -13) Reorder the terms for easier multiplication: 6 * 9.6x = 15.2(6x + -13) Multiply 6 * 9.6 57.6x = 15.2(6x + -13) Reorder the terms: 57.6x = 15.2(-13 + 6x) 57.6x = (-13 * 15.2 + 6x * 15.2) 57.6x = (-197.6 + 91.2x) Solving 57.6x = -197.6 + 91.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-91.2x' to each side of the equation. 57.6x + -91.2x = -197.6 + 91.2x + -91.2x Combine like terms: 57.6x + -91.2x = -33.6x -33.6x = -197.6 + 91.2x + -91.2x Combine like terms: 91.2x + -91.2x = 0.0 -33.6x = -197.6 + 0.0 -33.6x = -197.6 Divide each side by '-33.6'. x = 5.880952381 Simplifying x = 5.880952381
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