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