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Simplifying 178 = 2x + -4(5x + -8) Reorder the terms: 178 = 2x + -4(-8 + 5x) 178 = 2x + (-8 * -4 + 5x * -4) 178 = 2x + (32 + -20x) Reorder the terms: 178 = 32 + 2x + -20x Combine like terms: 2x + -20x = -18x 178 = 32 + -18x Solving 178 = 32 + -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. 178 + 18x = 32 + -18x + 18x Combine like terms: -18x + 18x = 0 178 + 18x = 32 + 0 178 + 18x = 32 Add '-178' to each side of the equation. 178 + -178 + 18x = 32 + -178 Combine like terms: 178 + -178 = 0 0 + 18x = 32 + -178 18x = 32 + -178 Combine like terms: 32 + -178 = -146 18x = -146 Divide each side by '18'. x = -8.111111111 Simplifying x = -8.111111111
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