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Simplifying 5.5(2x + 8) = 4(6x + -2) Reorder the terms: 5.5(8 + 2x) = 4(6x + -2) (8 * 5.5 + 2x * 5.5) = 4(6x + -2) (44 + 11x) = 4(6x + -2) Reorder the terms: 44 + 11x = 4(-2 + 6x) 44 + 11x = (-2 * 4 + 6x * 4) 44 + 11x = (-8 + 24x) Solving 44 + 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. 44 + 11x + -24x = -8 + 24x + -24x Combine like terms: 11x + -24x = -13x 44 + -13x = -8 + 24x + -24x Combine like terms: 24x + -24x = 0 44 + -13x = -8 + 0 44 + -13x = -8 Add '-44' to each side of the equation. 44 + -44 + -13x = -8 + -44 Combine like terms: 44 + -44 = 0 0 + -13x = -8 + -44 -13x = -8 + -44 Combine like terms: -8 + -44 = -52 -13x = -52 Divide each side by '-13'. x = 4 Simplifying x = 4
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