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Simplifying 2x + 5(-4x + 4) = -178 Reorder the terms: 2x + 5(4 + -4x) = -178 2x + (4 * 5 + -4x * 5) = -178 2x + (20 + -20x) = -178 Reorder the terms: 20 + 2x + -20x = -178 Combine like terms: 2x + -20x = -18x 20 + -18x = -178 Solving 20 + -18x = -178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -18x = -178 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = -178 + -20 -18x = -178 + -20 Combine like terms: -178 + -20 = -198 -18x = -198 Divide each side by '-18'. x = 11 Simplifying x = 11
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