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Simplifying [7x + 36] = [8x + -6] Reorder the terms: [36 + 7x] = [8x + -6] Remove brackets around [36 + 7x] 36 + 7x = [8x + -6] Reorder the terms: 36 + 7x = [-6 + 8x] Remove brackets around [-6 + 8x] 36 + 7x = -6 + 8x Solving 36 + 7x = -6 + 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. 36 + 7x + -8x = -6 + 8x + -8x Combine like terms: 7x + -8x = -1x 36 + -1x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 36 + -1x = -6 + 0 36 + -1x = -6 Add '-36' to each side of the equation. 36 + -36 + -1x = -6 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = -6 + -36 -1x = -6 + -36 Combine like terms: -6 + -36 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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