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Simplifying 35 = x + (2x + -1) + (4(2x + -1) + 2) Reorder the terms: 35 = x + (-1 + 2x) + (4(2x + -1) + 2) Remove parenthesis around (-1 + 2x) 35 = x + -1 + 2x + (4(2x + -1) + 2) Reorder the terms: 35 = x + -1 + 2x + (4(-1 + 2x) + 2) 35 = x + -1 + 2x + ((-1 * 4 + 2x * 4) + 2) 35 = x + -1 + 2x + ((-4 + 8x) + 2) Reorder the terms: 35 = x + -1 + 2x + (-4 + 2 + 8x) Combine like terms: -4 + 2 = -2 35 = x + -1 + 2x + (-2 + 8x) Remove parenthesis around (-2 + 8x) 35 = x + -1 + 2x + -2 + 8x Reorder the terms: 35 = -1 + -2 + x + 2x + 8x Combine like terms: -1 + -2 = -3 35 = -3 + x + 2x + 8x Combine like terms: x + 2x = 3x 35 = -3 + 3x + 8x Combine like terms: 3x + 8x = 11x 35 = -3 + 11x Solving 35 = -3 + 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. 35 + -11x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 35 + -11x = -3 + 0 35 + -11x = -3 Add '-35' to each side of the equation. 35 + -35 + -11x = -3 + -35 Combine like terms: 35 + -35 = 0 0 + -11x = -3 + -35 -11x = -3 + -35 Combine like terms: -3 + -35 = -38 -11x = -38 Divide each side by '-11'. x = 3.454545455 Simplifying x = 3.454545455
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