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Simplifying 35 = x + (3x + -1) + (2(2x + -1) + 2) Reorder the terms: 35 = x + (-1 + 3x) + (2(2x + -1) + 2) Remove parenthesis around (-1 + 3x) 35 = x + -1 + 3x + (2(2x + -1) + 2) Reorder the terms: 35 = x + -1 + 3x + (2(-1 + 2x) + 2) 35 = x + -1 + 3x + ((-1 * 2 + 2x * 2) + 2) 35 = x + -1 + 3x + ((-2 + 4x) + 2) Reorder the terms: 35 = x + -1 + 3x + (-2 + 2 + 4x) Combine like terms: -2 + 2 = 0 35 = x + -1 + 3x + (0 + 4x) 35 = x + -1 + 3x + (4x) 35 = x + -1 + 3x + (4x) Reorder the terms: 35 = -1 + x + 3x + (4x) Combine like terms: x + 3x = 4x 35 = -1 + 4x + (4x) Combine like terms: 4x + (4x) = 8x 35 = -1 + 8x Solving 35 = -1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 35 + -8x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 35 + -8x = -1 + 0 35 + -8x = -1 Add '-35' to each side of the equation. 35 + -35 + -8x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + -8x = -1 + -35 -8x = -1 + -35 Combine like terms: -1 + -35 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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