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Simplifying -4x + 5(-3x + 10) = -178 Reorder the terms: -4x + 5(10 + -3x) = -178 -4x + (10 * 5 + -3x * 5) = -178 -4x + (50 + -15x) = -178 Reorder the terms: 50 + -4x + -15x = -178 Combine like terms: -4x + -15x = -19x 50 + -19x = -178 Solving 50 + -19x = -178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -19x = -178 + -50 Combine like terms: 50 + -50 = 0 0 + -19x = -178 + -50 -19x = -178 + -50 Combine like terms: -178 + -50 = -228 -19x = -228 Divide each side by '-19'. x = 12 Simplifying x = 12
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