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Simplifying 11(x + -6) + -12 = 28x + -180 Reorder the terms: 11(-6 + x) + -12 = 28x + -180 (-6 * 11 + x * 11) + -12 = 28x + -180 (-66 + 11x) + -12 = 28x + -180 Reorder the terms: -66 + -12 + 11x = 28x + -180 Combine like terms: -66 + -12 = -78 -78 + 11x = 28x + -180 Reorder the terms: -78 + 11x = -180 + 28x Solving -78 + 11x = -180 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -78 + 11x + -28x = -180 + 28x + -28x Combine like terms: 11x + -28x = -17x -78 + -17x = -180 + 28x + -28x Combine like terms: 28x + -28x = 0 -78 + -17x = -180 + 0 -78 + -17x = -180 Add '78' to each side of the equation. -78 + 78 + -17x = -180 + 78 Combine like terms: -78 + 78 = 0 0 + -17x = -180 + 78 -17x = -180 + 78 Combine like terms: -180 + 78 = -102 -17x = -102 Divide each side by '-17'. x = 6 Simplifying x = 6
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