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Simplifying 43 + -1(x + 5) = 9x + -2 Reorder the terms: 43 + -1(5 + x) = 9x + -2 43 + (5 * -1 + x * -1) = 9x + -2 43 + (-5 + -1x) = 9x + -2 Combine like terms: 43 + -5 = 38 38 + -1x = 9x + -2 Reorder the terms: 38 + -1x = -2 + 9x Solving 38 + -1x = -2 + 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. 38 + -1x + -9x = -2 + 9x + -9x Combine like terms: -1x + -9x = -10x 38 + -10x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 38 + -10x = -2 + 0 38 + -10x = -2 Add '-38' to each side of the equation. 38 + -38 + -10x = -2 + -38 Combine like terms: 38 + -38 = 0 0 + -10x = -2 + -38 -10x = -2 + -38 Combine like terms: -2 + -38 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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