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Simplifying 2(4x + 2) + 1 = -2x + 35 Reorder the terms: 2(2 + 4x) + 1 = -2x + 35 (2 * 2 + 4x * 2) + 1 = -2x + 35 (4 + 8x) + 1 = -2x + 35 Reorder the terms: 4 + 1 + 8x = -2x + 35 Combine like terms: 4 + 1 = 5 5 + 8x = -2x + 35 Reorder the terms: 5 + 8x = 35 + -2x Solving 5 + 8x = 35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5 + 8x + 2x = 35 + -2x + 2x Combine like terms: 8x + 2x = 10x 5 + 10x = 35 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 10x = 35 + 0 5 + 10x = 35 Add '-5' to each side of the equation. 5 + -5 + 10x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = 35 + -5 10x = 35 + -5 Combine like terms: 35 + -5 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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