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Simplifying 178 = 7x + -5(6x + 15) Reorder the terms: 178 = 7x + -5(15 + 6x) 178 = 7x + (15 * -5 + 6x * -5) 178 = 7x + (-75 + -30x) Reorder the terms: 178 = -75 + 7x + -30x Combine like terms: 7x + -30x = -23x 178 = -75 + -23x Solving 178 = -75 + -23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23x' to each side of the equation. 178 + 23x = -75 + -23x + 23x Combine like terms: -23x + 23x = 0 178 + 23x = -75 + 0 178 + 23x = -75 Add '-178' to each side of the equation. 178 + -178 + 23x = -75 + -178 Combine like terms: 178 + -178 = 0 0 + 23x = -75 + -178 23x = -75 + -178 Combine like terms: -75 + -178 = -253 23x = -253 Divide each side by '23'. x = -11 Simplifying x = -11
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