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Simplifying 43 + -1(x + 8) = 9x + -5 Reorder the terms: 43 + -1(8 + x) = 9x + -5 43 + (8 * -1 + x * -1) = 9x + -5 43 + (-8 + -1x) = 9x + -5 Combine like terms: 43 + -8 = 35 35 + -1x = 9x + -5 Reorder the terms: 35 + -1x = -5 + 9x Solving 35 + -1x = -5 + 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. 35 + -1x + -9x = -5 + 9x + -9x Combine like terms: -1x + -9x = -10x 35 + -10x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + -10x = -5 + 0 35 + -10x = -5 Add '-35' to each side of the equation. 35 + -35 + -10x = -5 + -35 Combine like terms: 35 + -35 = 0 0 + -10x = -5 + -35 -10x = -5 + -35 Combine like terms: -5 + -35 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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