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Simplifying 2(x + 5.7) = 6x + -34 Reorder the terms: 2(5.7 + x) = 6x + -34 (5.7 * 2 + x * 2) = 6x + -34 (11.4 + 2x) = 6x + -34 Reorder the terms: 11.4 + 2x = -34 + 6x Solving 11.4 + 2x = -34 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 11.4 + 2x + -6x = -34 + 6x + -6x Combine like terms: 2x + -6x = -4x 11.4 + -4x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 11.4 + -4x = -34 + 0 11.4 + -4x = -34 Add '-11.4' to each side of the equation. 11.4 + -11.4 + -4x = -34 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + -4x = -34 + -11.4 -4x = -34 + -11.4 Combine like terms: -34 + -11.4 = -45.4 -4x = -45.4 Divide each side by '-4'. x = 11.35 Simplifying x = 11.35
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