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Simplifying 4x + 43 = 6x + 29 Reorder the terms: 43 + 4x = 6x + 29 Reorder the terms: 43 + 4x = 29 + 6x Solving 43 + 4x = 29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 43 + 4x + -6x = 29 + 6x + -6x Combine like terms: 4x + -6x = -2x 43 + -2x = 29 + 6x + -6x Combine like terms: 6x + -6x = 0 43 + -2x = 29 + 0 43 + -2x = 29 Add '-43' to each side of the equation. 43 + -43 + -2x = 29 + -43 Combine like terms: 43 + -43 = 0 0 + -2x = 29 + -43 -2x = 29 + -43 Combine like terms: 29 + -43 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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