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Simplifying 6(x + -5) = -2(x + 43) Reorder the terms: 6(-5 + x) = -2(x + 43) (-5 * 6 + x * 6) = -2(x + 43) (-30 + 6x) = -2(x + 43) Reorder the terms: -30 + 6x = -2(43 + x) -30 + 6x = (43 * -2 + x * -2) -30 + 6x = (-86 + -2x) Solving -30 + 6x = -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. -30 + 6x + 2x = -86 + -2x + 2x Combine like terms: 6x + 2x = 8x -30 + 8x = -86 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 8x = -86 + 0 -30 + 8x = -86 Add '30' to each side of the equation. -30 + 30 + 8x = -86 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = -86 + 30 8x = -86 + 30 Combine like terms: -86 + 30 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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