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Simplifying 6(x + -1 + 12) = 36(x + -1) Reorder the terms: 6(-1 + 12 + x) = 36(x + -1) Combine like terms: -1 + 12 = 11 6(11 + x) = 36(x + -1) (11 * 6 + x * 6) = 36(x + -1) (66 + 6x) = 36(x + -1) Reorder the terms: 66 + 6x = 36(-1 + x) 66 + 6x = (-1 * 36 + x * 36) 66 + 6x = (-36 + 36x) Solving 66 + 6x = -36 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 66 + 6x + -36x = -36 + 36x + -36x Combine like terms: 6x + -36x = -30x 66 + -30x = -36 + 36x + -36x Combine like terms: 36x + -36x = 0 66 + -30x = -36 + 0 66 + -30x = -36 Add '-66' to each side of the equation. 66 + -66 + -30x = -36 + -66 Combine like terms: 66 + -66 = 0 0 + -30x = -36 + -66 -30x = -36 + -66 Combine like terms: -36 + -66 = -102 -30x = -102 Divide each side by '-30'. x = 3.4 Simplifying x = 3.4
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