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Simplifying [59 + -1x] = 7[11 + -1x] Remove brackets around [59 + -1x] 59 + -1x = 7[11 + -1x] 59 + -1x = [11 * 7 + -1x * 7] 59 + -1x = [77 + -7x] Solving 59 + -1x = 77 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 59 + -1x + 7x = 77 + -7x + 7x Combine like terms: -1x + 7x = 6x 59 + 6x = 77 + -7x + 7x Combine like terms: -7x + 7x = 0 59 + 6x = 77 + 0 59 + 6x = 77 Add '-59' to each side of the equation. 59 + -59 + 6x = 77 + -59 Combine like terms: 59 + -59 = 0 0 + 6x = 77 + -59 6x = 77 + -59 Combine like terms: 77 + -59 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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