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Simplifying -43(x + -74) = x + (-64) Reorder the terms: -43(-74 + x) = x + (-64) (-74 * -43 + x * -43) = x + (-64) (3182 + -43x) = x + (-64) 3182 + -43x = x + -64 Reorder the terms: 3182 + -43x = -64 + x Solving 3182 + -43x = -64 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3182 + -43x + -1x = -64 + x + -1x Combine like terms: -43x + -1x = -44x 3182 + -44x = -64 + x + -1x Combine like terms: x + -1x = 0 3182 + -44x = -64 + 0 3182 + -44x = -64 Add '-3182' to each side of the equation. 3182 + -3182 + -44x = -64 + -3182 Combine like terms: 3182 + -3182 = 0 0 + -44x = -64 + -3182 -44x = -64 + -3182 Combine like terms: -64 + -3182 = -3246 -44x = -3246 Divide each side by '-44'. x = 73.77272727 Simplifying x = 73.77272727
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