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Simplifying 6[7 + -1(2x + -2)] = 24x + 66 Reorder the terms: 6[7 + -1(-2 + 2x)] = 24x + 66 6[7 + (-2 * -1 + 2x * -1)] = 24x + 66 6[7 + (2 + -2x)] = 24x + 66 Combine like terms: 7 + 2 = 9 6[9 + -2x] = 24x + 66 [9 * 6 + -2x * 6] = 24x + 66 [54 + -12x] = 24x + 66 Reorder the terms: 54 + -12x = 66 + 24x Solving 54 + -12x = 66 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 54 + -12x + -24x = 66 + 24x + -24x Combine like terms: -12x + -24x = -36x 54 + -36x = 66 + 24x + -24x Combine like terms: 24x + -24x = 0 54 + -36x = 66 + 0 54 + -36x = 66 Add '-54' to each side of the equation. 54 + -54 + -36x = 66 + -54 Combine like terms: 54 + -54 = 0 0 + -36x = 66 + -54 -36x = 66 + -54 Combine like terms: 66 + -54 = 12 -36x = 12 Divide each side by '-36'. x = -0.3333333333 Simplifying x = -0.3333333333
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