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Simplifying 7(x + -5) = -2(x + 43) Reorder the terms: 7(-5 + x) = -2(x + 43) (-5 * 7 + x * 7) = -2(x + 43) (-35 + 7x) = -2(x + 43) Reorder the terms: -35 + 7x = -2(43 + x) -35 + 7x = (43 * -2 + x * -2) -35 + 7x = (-86 + -2x) Solving -35 + 7x = -86 + -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 + 7x + 2x = -86 + -2x + 2x Combine like terms: 7x + 2x = 9x -35 + 9x = -86 + -2x + 2x Combine like terms: -2x + 2x = 0 -35 + 9x = -86 + 0 -35 + 9x = -86 Add '35' to each side of the equation. -35 + 35 + 9x = -86 + 35 Combine like terms: -35 + 35 = 0 0 + 9x = -86 + 35 9x = -86 + 35 Combine like terms: -86 + 35 = -51 9x = -51 Divide each side by '9'. x = -5.666666667 Simplifying x = -5.666666667
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