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Simplifying 5.5(2x + 5) = 4(6x + -2) Reorder the terms: 5.5(5 + 2x) = 4(6x + -2) (5 * 5.5 + 2x * 5.5) = 4(6x + -2) (27.5 + 11x) = 4(6x + -2) Reorder the terms: 27.5 + 11x = 4(-2 + 6x) 27.5 + 11x = (-2 * 4 + 6x * 4) 27.5 + 11x = (-8 + 24x) Solving 27.5 + 11x = -8 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 27.5 + 11x + -24x = -8 + 24x + -24x Combine like terms: 11x + -24x = -13x 27.5 + -13x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 27.5 + -13x = -8 + 0 27.5 + -13x = -8 Add '-27.5' to each side of the equation. 27.5 + -27.5 + -13x = -8 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + -13x = -8 + -27.5 -13x = -8 + -27.5 Combine like terms: -8 + -27.5 = -35.5 -13x = -35.5 Divide each side by '-13'. x = 2.730769231 Simplifying x = 2.730769231
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