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Simplifying 10(x + 4) + x = 6 + 2(10x + x + 4) Reorder the terms: 10(4 + x) + x = 6 + 2(10x + x + 4) (4 * 10 + x * 10) + x = 6 + 2(10x + x + 4) (40 + 10x) + x = 6 + 2(10x + x + 4) Combine like terms: 10x + x = 11x 40 + 11x = 6 + 2(10x + x + 4) Reorder the terms: 40 + 11x = 6 + 2(4 + 10x + x) Combine like terms: 10x + x = 11x 40 + 11x = 6 + 2(4 + 11x) 40 + 11x = 6 + (4 * 2 + 11x * 2) 40 + 11x = 6 + (8 + 22x) Combine like terms: 6 + 8 = 14 40 + 11x = 14 + 22x Solving 40 + 11x = 14 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 40 + 11x + -22x = 14 + 22x + -22x Combine like terms: 11x + -22x = -11x 40 + -11x = 14 + 22x + -22x Combine like terms: 22x + -22x = 0 40 + -11x = 14 + 0 40 + -11x = 14 Add '-40' to each side of the equation. 40 + -40 + -11x = 14 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = 14 + -40 -11x = 14 + -40 Combine like terms: 14 + -40 = -26 -11x = -26 Divide each side by '-11'. x = 2.363636364 Simplifying x = 2.363636364
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