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Simplifying [8x + 29] = [10x + 49] Reorder the terms: [29 + 8x] = [10x + 49] Remove brackets around [29 + 8x] 29 + 8x = [10x + 49] Reorder the terms: 29 + 8x = [49 + 10x] Remove brackets around [49 + 10x] 29 + 8x = 49 + 10x Solving 29 + 8x = 49 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 29 + 8x + -10x = 49 + 10x + -10x Combine like terms: 8x + -10x = -2x 29 + -2x = 49 + 10x + -10x Combine like terms: 10x + -10x = 0 29 + -2x = 49 + 0 29 + -2x = 49 Add '-29' to each side of the equation. 29 + -29 + -2x = 49 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 49 + -29 -2x = 49 + -29 Combine like terms: 49 + -29 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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