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Simplifying 221 = -4x + -7(-5x + -5) Reorder the terms: 221 = -4x + -7(-5 + -5x) 221 = -4x + (-5 * -7 + -5x * -7) 221 = -4x + (35 + 35x) Reorder the terms: 221 = 35 + -4x + 35x Combine like terms: -4x + 35x = 31x 221 = 35 + 31x Solving 221 = 35 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 221 + -31x = 35 + 31x + -31x Combine like terms: 31x + -31x = 0 221 + -31x = 35 + 0 221 + -31x = 35 Add '-221' to each side of the equation. 221 + -221 + -31x = 35 + -221 Combine like terms: 221 + -221 = 0 0 + -31x = 35 + -221 -31x = 35 + -221 Combine like terms: 35 + -221 = -186 -31x = -186 Divide each side by '-31'. x = 6 Simplifying x = 6
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