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Simplifying 6[-6 + 6 + 4(x + 1)] = 6x + 2 Reorder the terms: 6[-6 + 6 + 4(1 + x)] = 6x + 2 6[-6 + 6 + (1 * 4 + x * 4)] = 6x + 2 6[-6 + 6 + (4 + 4x)] = 6x + 2 Combine like terms: -6 + 6 = 0 6[0 + 4 + 4x] = 6x + 2 6[4 + 4x] = 6x + 2 [4 * 6 + 4x * 6] = 6x + 2 [24 + 24x] = 6x + 2 Reorder the terms: 24 + 24x = 2 + 6x Solving 24 + 24x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 24 + 24x + -6x = 2 + 6x + -6x Combine like terms: 24x + -6x = 18x 24 + 18x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 18x = 2 + 0 24 + 18x = 2 Add '-24' to each side of the equation. 24 + -24 + 18x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 2 + -24 18x = 2 + -24 Combine like terms: 2 + -24 = -22 18x = -22 Divide each side by '18'. x = -1.222222222 Simplifying x = -1.222222222
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