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Simplifying 3[6x + 6 + -2(x + 1)] = 3x + -3 Reorder the terms: 3[6x + 6 + -2(1 + x)] = 3x + -3 3[6x + 6 + (1 * -2 + x * -2)] = 3x + -3 3[6x + 6 + (-2 + -2x)] = 3x + -3 Reorder the terms: 3[6 + -2 + 6x + -2x] = 3x + -3 Combine like terms: 6 + -2 = 4 3[4 + 6x + -2x] = 3x + -3 Combine like terms: 6x + -2x = 4x 3[4 + 4x] = 3x + -3 [4 * 3 + 4x * 3] = 3x + -3 [12 + 12x] = 3x + -3 Reorder the terms: 12 + 12x = -3 + 3x Solving 12 + 12x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 12x + -3x = -3 + 3x + -3x Combine like terms: 12x + -3x = 9x 12 + 9x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 9x = -3 + 0 12 + 9x = -3 Add '-12' to each side of the equation. 12 + -12 + 9x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = -3 + -12 9x = -3 + -12 Combine like terms: -3 + -12 = -15 9x = -15 Divide each side by '9'. x = -1.666666667 Simplifying x = -1.666666667
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