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Simplifying 43(x + 7) = 9x + -4 Reorder the terms: 43(7 + x) = 9x + -4 (7 * 43 + x * 43) = 9x + -4 (301 + 43x) = 9x + -4 Reorder the terms: 301 + 43x = -4 + 9x Solving 301 + 43x = -4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 301 + 43x + -9x = -4 + 9x + -9x Combine like terms: 43x + -9x = 34x 301 + 34x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 301 + 34x = -4 + 0 301 + 34x = -4 Add '-301' to each side of the equation. 301 + -301 + 34x = -4 + -301 Combine like terms: 301 + -301 = 0 0 + 34x = -4 + -301 34x = -4 + -301 Combine like terms: -4 + -301 = -305 34x = -305 Divide each side by '34'. x = -8.970588235 Simplifying x = -8.970588235
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