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Simplifying 4(x + 8) + -4 = 34 + 2x Reorder the terms: 4(8 + x) + -4 = 34 + 2x (8 * 4 + x * 4) + -4 = 34 + 2x (32 + 4x) + -4 = 34 + 2x Reorder the terms: 32 + -4 + 4x = 34 + 2x Combine like terms: 32 + -4 = 28 28 + 4x = 34 + 2x Solving 28 + 4x = 34 + 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. 28 + 4x + -2x = 34 + 2x + -2x Combine like terms: 4x + -2x = 2x 28 + 2x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 2x = 34 + 0 28 + 2x = 34 Add '-28' to each side of the equation. 28 + -28 + 2x = 34 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 34 + -28 2x = 34 + -28 Combine like terms: 34 + -28 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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