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Simplifying 4 + -8x + 2x = 6 + 5(x + 4) Combine like terms: -8x + 2x = -6x 4 + -6x = 6 + 5(x + 4) Reorder the terms: 4 + -6x = 6 + 5(4 + x) 4 + -6x = 6 + (4 * 5 + x * 5) 4 + -6x = 6 + (20 + 5x) Combine like terms: 6 + 20 = 26 4 + -6x = 26 + 5x Solving 4 + -6x = 26 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + -6x + -5x = 26 + 5x + -5x Combine like terms: -6x + -5x = -11x 4 + -11x = 26 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -11x = 26 + 0 4 + -11x = 26 Add '-4' to each side of the equation. 4 + -4 + -11x = 26 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 26 + -4 -11x = 26 + -4 Combine like terms: 26 + -4 = 22 -11x = 22 Divide each side by '-11'. x = -2 Simplifying x = -2
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