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Simplifying 43 = 8x + -38 + 3x + -7 Reorder the terms: 43 = -38 + -7 + 8x + 3x Combine like terms: -38 + -7 = -45 43 = -45 + 8x + 3x Combine like terms: 8x + 3x = 11x 43 = -45 + 11x Solving 43 = -45 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 43 + -11x = -45 + 11x + -11x Combine like terms: 11x + -11x = 0 43 + -11x = -45 + 0 43 + -11x = -45 Add '-43' to each side of the equation. 43 + -43 + -11x = -45 + -43 Combine like terms: 43 + -43 = 0 0 + -11x = -45 + -43 -11x = -45 + -43 Combine like terms: -45 + -43 = -88 -11x = -88 Divide each side by '-11'. x = 8 Simplifying x = 8
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