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Simplifying 43 + -1(x + 7) = 9x + -4 Reorder the terms: 43 + -1(7 + x) = 9x + -4 43 + (7 * -1 + x * -1) = 9x + -4 43 + (-7 + -1x) = 9x + -4 Combine like terms: 43 + -7 = 36 36 + -1x = 9x + -4 Reorder the terms: 36 + -1x = -4 + 9x Solving 36 + -1x = -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. 36 + -1x + -9x = -4 + 9x + -9x Combine like terms: -1x + -9x = -10x 36 + -10x = -4 + 9x + -9x Combine like terms: 9x + -9x = 0 36 + -10x = -4 + 0 36 + -10x = -4 Add '-36' to each side of the equation. 36 + -36 + -10x = -4 + -36 Combine like terms: 36 + -36 = 0 0 + -10x = -4 + -36 -10x = -4 + -36 Combine like terms: -4 + -36 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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