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Simplifying 6x + -1(5x + 2) = 2x + -43 Reorder the terms: 6x + -1(2 + 5x) = 2x + -43 6x + (2 * -1 + 5x * -1) = 2x + -43 6x + (-2 + -5x) = 2x + -43 Reorder the terms: -2 + 6x + -5x = 2x + -43 Combine like terms: 6x + -5x = 1x -2 + 1x = 2x + -43 Reorder the terms: -2 + 1x = -43 + 2x Solving -2 + 1x = -43 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -2 + 1x + -2x = -43 + 2x + -2x Combine like terms: 1x + -2x = -1x -2 + -1x = -43 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -1x = -43 + 0 -2 + -1x = -43 Add '2' to each side of the equation. -2 + 2 + -1x = -43 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -43 + 2 -1x = -43 + 2 Combine like terms: -43 + 2 = -41 -1x = -41 Divide each side by '-1'. x = 41 Simplifying x = 41
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