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Simplifying 4x + 15 + 6x + 29 = 8(x + 13) Reorder the terms: 15 + 29 + 4x + 6x = 8(x + 13) Combine like terms: 15 + 29 = 44 44 + 4x + 6x = 8(x + 13) Combine like terms: 4x + 6x = 10x 44 + 10x = 8(x + 13) Reorder the terms: 44 + 10x = 8(13 + x) 44 + 10x = (13 * 8 + x * 8) 44 + 10x = (104 + 8x) Solving 44 + 10x = 104 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 44 + 10x + -8x = 104 + 8x + -8x Combine like terms: 10x + -8x = 2x 44 + 2x = 104 + 8x + -8x Combine like terms: 8x + -8x = 0 44 + 2x = 104 + 0 44 + 2x = 104 Add '-44' to each side of the equation. 44 + -44 + 2x = 104 + -44 Combine like terms: 44 + -44 = 0 0 + 2x = 104 + -44 2x = 104 + -44 Combine like terms: 104 + -44 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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