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Simplifying 7x + 6(-4x + 7) = 178 Reorder the terms: 7x + 6(7 + -4x) = 178 7x + (7 * 6 + -4x * 6) = 178 7x + (42 + -24x) = 178 Reorder the terms: 42 + 7x + -24x = 178 Combine like terms: 7x + -24x = -17x 42 + -17x = 178 Solving 42 + -17x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -17x = 178 + -42 Combine like terms: 42 + -42 = 0 0 + -17x = 178 + -42 -17x = 178 + -42 Combine like terms: 178 + -42 = 136 -17x = 136 Divide each side by '-17'. x = -8 Simplifying x = -8
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