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Simplifying 5x + -6 + 6x = 8(4 + -2x) Reorder the terms: -6 + 5x + 6x = 8(4 + -2x) Combine like terms: 5x + 6x = 11x -6 + 11x = 8(4 + -2x) -6 + 11x = (4 * 8 + -2x * 8) -6 + 11x = (32 + -16x) Solving -6 + 11x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -6 + 11x + 16x = 32 + -16x + 16x Combine like terms: 11x + 16x = 27x -6 + 27x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 27x = 32 + 0 -6 + 27x = 32 Add '6' to each side of the equation. -6 + 6 + 27x = 32 + 6 Combine like terms: -6 + 6 = 0 0 + 27x = 32 + 6 27x = 32 + 6 Combine like terms: 32 + 6 = 38 27x = 38 Divide each side by '27'. x = 1.407407407 Simplifying x = 1.407407407
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