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Simplifying -2(3x + 5) + -2x = x + -43 Reorder the terms: -2(5 + 3x) + -2x = x + -43 (5 * -2 + 3x * -2) + -2x = x + -43 (-10 + -6x) + -2x = x + -43 Combine like terms: -6x + -2x = -8x -10 + -8x = x + -43 Reorder the terms: -10 + -8x = -43 + x Solving -10 + -8x = -43 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -8x + -1x = -43 + x + -1x Combine like terms: -8x + -1x = -9x -10 + -9x = -43 + x + -1x Combine like terms: x + -1x = 0 -10 + -9x = -43 + 0 -10 + -9x = -43 Add '10' to each side of the equation. -10 + 10 + -9x = -43 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -43 + 10 -9x = -43 + 10 Combine like terms: -43 + 10 = -33 -9x = -33 Divide each side by '-9'. x = 3.666666667 Simplifying x = 3.666666667
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