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Simplifying -2x + 43 = -9(x + -4) Reorder the terms: 43 + -2x = -9(x + -4) Reorder the terms: 43 + -2x = -9(-4 + x) 43 + -2x = (-4 * -9 + x * -9) 43 + -2x = (36 + -9x) Solving 43 + -2x = 36 + -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. 43 + -2x + 9x = 36 + -9x + 9x Combine like terms: -2x + 9x = 7x 43 + 7x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 43 + 7x = 36 + 0 43 + 7x = 36 Add '-43' to each side of the equation. 43 + -43 + 7x = 36 + -43 Combine like terms: 43 + -43 = 0 0 + 7x = 36 + -43 7x = 36 + -43 Combine like terms: 36 + -43 = -7 7x = -7 Divide each side by '7'. x = -1 Simplifying x = -1
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