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Simplifying 118 = -4x + 7(3x + -5) Reorder the terms: 118 = -4x + 7(-5 + 3x) 118 = -4x + (-5 * 7 + 3x * 7) 118 = -4x + (-35 + 21x) Reorder the terms: 118 = -35 + -4x + 21x Combine like terms: -4x + 21x = 17x 118 = -35 + 17x Solving 118 = -35 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 118 + -17x = -35 + 17x + -17x Combine like terms: 17x + -17x = 0 118 + -17x = -35 + 0 118 + -17x = -35 Add '-118' to each side of the equation. 118 + -118 + -17x = -35 + -118 Combine like terms: 118 + -118 = 0 0 + -17x = -35 + -118 -17x = -35 + -118 Combine like terms: -35 + -118 = -153 -17x = -153 Divide each side by '-17'. x = 9 Simplifying x = 9
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