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Simplifying 6(x + 2) = 216(x + 1) Reorder the terms: 6(2 + x) = 216(x + 1) (2 * 6 + x * 6) = 216(x + 1) (12 + 6x) = 216(x + 1) Reorder the terms: 12 + 6x = 216(1 + x) 12 + 6x = (1 * 216 + x * 216) 12 + 6x = (216 + 216x) Solving 12 + 6x = 216 + 216x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-216x' to each side of the equation. 12 + 6x + -216x = 216 + 216x + -216x Combine like terms: 6x + -216x = -210x 12 + -210x = 216 + 216x + -216x Combine like terms: 216x + -216x = 0 12 + -210x = 216 + 0 12 + -210x = 216 Add '-12' to each side of the equation. 12 + -12 + -210x = 216 + -12 Combine like terms: 12 + -12 = 0 0 + -210x = 216 + -12 -210x = 216 + -12 Combine like terms: 216 + -12 = 204 -210x = 204 Divide each side by '-210'. x = -0.9714285714 Simplifying x = -0.9714285714
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