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Simplifying 35 = x + (3x + -1) + (4(3x + -1) + 2) Reorder the terms: 35 = x + (-1 + 3x) + (4(3x + -1) + 2) Remove parenthesis around (-1 + 3x) 35 = x + -1 + 3x + (4(3x + -1) + 2) Reorder the terms: 35 = x + -1 + 3x + (4(-1 + 3x) + 2) 35 = x + -1 + 3x + ((-1 * 4 + 3x * 4) + 2) 35 = x + -1 + 3x + ((-4 + 12x) + 2) Reorder the terms: 35 = x + -1 + 3x + (-4 + 2 + 12x) Combine like terms: -4 + 2 = -2 35 = x + -1 + 3x + (-2 + 12x) Remove parenthesis around (-2 + 12x) 35 = x + -1 + 3x + -2 + 12x Reorder the terms: 35 = -1 + -2 + x + 3x + 12x Combine like terms: -1 + -2 = -3 35 = -3 + x + 3x + 12x Combine like terms: x + 3x = 4x 35 = -3 + 4x + 12x Combine like terms: 4x + 12x = 16x 35 = -3 + 16x Solving 35 = -3 + 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. 35 + -16x = -3 + 16x + -16x Combine like terms: 16x + -16x = 0 35 + -16x = -3 + 0 35 + -16x = -3 Add '-35' to each side of the equation. 35 + -35 + -16x = -3 + -35 Combine like terms: 35 + -35 = 0 0 + -16x = -3 + -35 -16x = -3 + -35 Combine like terms: -3 + -35 = -38 -16x = -38 Divide each side by '-16'. x = 2.375 Simplifying x = 2.375
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