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Simplifying 12x + -11x = 2(-6x + -5) + -6(x + 11) Combine like terms: 12x + -11x = 1x 1x = 2(-6x + -5) + -6(x + 11) Reorder the terms: 1x = 2(-5 + -6x) + -6(x + 11) 1x = (-5 * 2 + -6x * 2) + -6(x + 11) 1x = (-10 + -12x) + -6(x + 11) Reorder the terms: 1x = -10 + -12x + -6(11 + x) 1x = -10 + -12x + (11 * -6 + x * -6) 1x = -10 + -12x + (-66 + -6x) Reorder the terms: 1x = -10 + -66 + -12x + -6x Combine like terms: -10 + -66 = -76 1x = -76 + -12x + -6x Combine like terms: -12x + -6x = -18x 1x = -76 + -18x Solving 1x = -76 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 1x + 18x = -76 + -18x + 18x Combine like terms: 1x + 18x = 19x 19x = -76 + -18x + 18x Combine like terms: -18x + 18x = 0 19x = -76 + 0 19x = -76 Divide each side by '19'. x = -4 Simplifying x = -4
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