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Simplifying -5(3x + -7) = 2(x + -43) + -83 Reorder the terms: -5(-7 + 3x) = 2(x + -43) + -83 (-7 * -5 + 3x * -5) = 2(x + -43) + -83 (35 + -15x) = 2(x + -43) + -83 Reorder the terms: 35 + -15x = 2(-43 + x) + -83 35 + -15x = (-43 * 2 + x * 2) + -83 35 + -15x = (-86 + 2x) + -83 Reorder the terms: 35 + -15x = -86 + -83 + 2x Combine like terms: -86 + -83 = -169 35 + -15x = -169 + 2x Solving 35 + -15x = -169 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + -15x + -2x = -169 + 2x + -2x Combine like terms: -15x + -2x = -17x 35 + -17x = -169 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -17x = -169 + 0 35 + -17x = -169 Add '-35' to each side of the equation. 35 + -35 + -17x = -169 + -35 Combine like terms: 35 + -35 = 0 0 + -17x = -169 + -35 -17x = -169 + -35 Combine like terms: -169 + -35 = -204 -17x = -204 Divide each side by '-17'. x = 12 Simplifying x = 12
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