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Simplifying 6[11 + x] = 8[9 + x] [11 * 6 + x * 6] = 8[9 + x] [66 + 6x] = 8[9 + x] 66 + 6x = [9 * 8 + x * 8] 66 + 6x = [72 + 8x] Solving 66 + 6x = 72 + 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. 66 + 6x + -8x = 72 + 8x + -8x Combine like terms: 6x + -8x = -2x 66 + -2x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 66 + -2x = 72 + 0 66 + -2x = 72 Add '-66' to each side of the equation. 66 + -66 + -2x = 72 + -66 Combine like terms: 66 + -66 = 0 0 + -2x = 72 + -66 -2x = 72 + -66 Combine like terms: 72 + -66 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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