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Simplifying 178 = 4 + 6(-8x + 5) Reorder the terms: 178 = 4 + 6(5 + -8x) 178 = 4 + (5 * 6 + -8x * 6) 178 = 4 + (30 + -48x) Combine like terms: 4 + 30 = 34 178 = 34 + -48x Solving 178 = 34 + -48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48x' to each side of the equation. 178 + 48x = 34 + -48x + 48x Combine like terms: -48x + 48x = 0 178 + 48x = 34 + 0 178 + 48x = 34 Add '-178' to each side of the equation. 178 + -178 + 48x = 34 + -178 Combine like terms: 178 + -178 = 0 0 + 48x = 34 + -178 48x = 34 + -178 Combine like terms: 34 + -178 = -144 48x = -144 Divide each side by '48'. x = -3 Simplifying x = -3
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