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Simplifying 3(4x + 2) + 35 = 16x + 2 Reorder the terms: 3(2 + 4x) + 35 = 16x + 2 (2 * 3 + 4x * 3) + 35 = 16x + 2 (6 + 12x) + 35 = 16x + 2 Reorder the terms: 6 + 35 + 12x = 16x + 2 Combine like terms: 6 + 35 = 41 41 + 12x = 16x + 2 Reorder the terms: 41 + 12x = 2 + 16x Solving 41 + 12x = 2 + 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. 41 + 12x + -16x = 2 + 16x + -16x Combine like terms: 12x + -16x = -4x 41 + -4x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 41 + -4x = 2 + 0 41 + -4x = 2 Add '-41' to each side of the equation. 41 + -41 + -4x = 2 + -41 Combine like terms: 41 + -41 = 0 0 + -4x = 2 + -41 -4x = 2 + -41 Combine like terms: 2 + -41 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75
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