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Simplifying 3[6x + -2 + -2(x + 1)] = -6x + -1 Reorder the terms: 3[6x + -2 + -2(1 + x)] = -6x + -1 3[6x + -2 + (1 * -2 + x * -2)] = -6x + -1 3[6x + -2 + (-2 + -2x)] = -6x + -1 Reorder the terms: 3[-2 + -2 + 6x + -2x] = -6x + -1 Combine like terms: -2 + -2 = -4 3[-4 + 6x + -2x] = -6x + -1 Combine like terms: 6x + -2x = 4x 3[-4 + 4x] = -6x + -1 [-4 * 3 + 4x * 3] = -6x + -1 [-12 + 12x] = -6x + -1 Reorder the terms: -12 + 12x = -1 + -6x Solving -12 + 12x = -1 + -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. -12 + 12x + 6x = -1 + -6x + 6x Combine like terms: 12x + 6x = 18x -12 + 18x = -1 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 18x = -1 + 0 -12 + 18x = -1 Add '12' to each side of the equation. -12 + 12 + 18x = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 18x = -1 + 12 18x = -1 + 12 Combine like terms: -1 + 12 = 11 18x = 11 Divide each side by '18'. x = 0.6111111111 Simplifying x = 0.6111111111
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