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Simplifying 2x + 16 + 2x + -1 = 45 + -4x + 34 Reorder the terms: 16 + -1 + 2x + 2x = 45 + -4x + 34 Combine like terms: 16 + -1 = 15 15 + 2x + 2x = 45 + -4x + 34 Combine like terms: 2x + 2x = 4x 15 + 4x = 45 + -4x + 34 Reorder the terms: 15 + 4x = 45 + 34 + -4x Combine like terms: 45 + 34 = 79 15 + 4x = 79 + -4x Solving 15 + 4x = 79 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 4x + 4x = 79 + -4x + 4x Combine like terms: 4x + 4x = 8x 15 + 8x = 79 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 8x = 79 + 0 15 + 8x = 79 Add '-15' to each side of the equation. 15 + -15 + 8x = 79 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 79 + -15 8x = 79 + -15 Combine like terms: 79 + -15 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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