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Simplifying 6[-6x + 6 + 4(x + -1)] = 6x + 2 Reorder the terms: 6[-6x + 6 + 4(-1 + x)] = 6x + 2 6[-6x + 6 + (-1 * 4 + x * 4)] = 6x + 2 6[-6x + 6 + (-4 + 4x)] = 6x + 2 Reorder the terms: 6[6 + -4 + -6x + 4x] = 6x + 2 Combine like terms: 6 + -4 = 2 6[2 + -6x + 4x] = 6x + 2 Combine like terms: -6x + 4x = -2x 6[2 + -2x] = 6x + 2 [2 * 6 + -2x * 6] = 6x + 2 [12 + -12x] = 6x + 2 Reorder the terms: 12 + -12x = 2 + 6x Solving 12 + -12x = 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. 12 + -12x + -6x = 2 + 6x + -6x Combine like terms: -12x + -6x = -18x 12 + -18x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -18x = 2 + 0 12 + -18x = 2 Add '-12' to each side of the equation. 12 + -12 + -18x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 2 + -12 -18x = 2 + -12 Combine like terms: 2 + -12 = -10 -18x = -10 Divide each side by '-18'. x = 0.5555555556 Simplifying x = 0.5555555556
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