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Simplifying 4(x + 2) + 2x = 3x + 35 Reorder the terms: 4(2 + x) + 2x = 3x + 35 (2 * 4 + x * 4) + 2x = 3x + 35 (8 + 4x) + 2x = 3x + 35 Combine like terms: 4x + 2x = 6x 8 + 6x = 3x + 35 Reorder the terms: 8 + 6x = 35 + 3x Solving 8 + 6x = 35 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 6x + -3x = 35 + 3x + -3x Combine like terms: 6x + -3x = 3x 8 + 3x = 35 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = 35 + 0 8 + 3x = 35 Add '-8' to each side of the equation. 8 + -8 + 3x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 35 + -8 3x = 35 + -8 Combine like terms: 35 + -8 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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