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Simplifying 4(x + 8) + 7 = 5(x + 8) + 29 Reorder the terms: 4(8 + x) + 7 = 5(x + 8) + 29 (8 * 4 + x * 4) + 7 = 5(x + 8) + 29 (32 + 4x) + 7 = 5(x + 8) + 29 Reorder the terms: 32 + 7 + 4x = 5(x + 8) + 29 Combine like terms: 32 + 7 = 39 39 + 4x = 5(x + 8) + 29 Reorder the terms: 39 + 4x = 5(8 + x) + 29 39 + 4x = (8 * 5 + x * 5) + 29 39 + 4x = (40 + 5x) + 29 Reorder the terms: 39 + 4x = 40 + 29 + 5x Combine like terms: 40 + 29 = 69 39 + 4x = 69 + 5x Solving 39 + 4x = 69 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 39 + 4x + -5x = 69 + 5x + -5x Combine like terms: 4x + -5x = -1x 39 + -1x = 69 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + -1x = 69 + 0 39 + -1x = 69 Add '-39' to each side of the equation. 39 + -39 + -1x = 69 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 69 + -39 -1x = 69 + -39 Combine like terms: 69 + -39 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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