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Simplifying 4x + -9x + 43 = 2x + 36 Reorder the terms: 43 + 4x + -9x = 2x + 36 Combine like terms: 4x + -9x = -5x 43 + -5x = 2x + 36 Reorder the terms: 43 + -5x = 36 + 2x Solving 43 + -5x = 36 + 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. 43 + -5x + -2x = 36 + 2x + -2x Combine like terms: -5x + -2x = -7x 43 + -7x = 36 + 2x + -2x Combine like terms: 2x + -2x = 0 43 + -7x = 36 + 0 43 + -7x = 36 Add '-43' to each side of the equation. 43 + -43 + -7x = 36 + -43 Combine like terms: 43 + -43 = 0 0 + -7x = 36 + -43 -7x = 36 + -43 Combine like terms: 36 + -43 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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