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Simplifying 43 + -1(x + 6) = 9x + -3 Reorder the terms: 43 + -1(6 + x) = 9x + -3 43 + (6 * -1 + x * -1) = 9x + -3 43 + (-6 + -1x) = 9x + -3 Combine like terms: 43 + -6 = 37 37 + -1x = 9x + -3 Reorder the terms: 37 + -1x = -3 + 9x Solving 37 + -1x = -3 + 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. 37 + -1x + -9x = -3 + 9x + -9x Combine like terms: -1x + -9x = -10x 37 + -10x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 37 + -10x = -3 + 0 37 + -10x = -3 Add '-37' to each side of the equation. 37 + -37 + -10x = -3 + -37 Combine like terms: 37 + -37 = 0 0 + -10x = -3 + -37 -10x = -3 + -37 Combine like terms: -3 + -37 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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