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Simplifying 4x + 43 = 7x + 14 Reorder the terms: 43 + 4x = 7x + 14 Reorder the terms: 43 + 4x = 14 + 7x Solving 43 + 4x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 43 + 4x + -7x = 14 + 7x + -7x Combine like terms: 4x + -7x = -3x 43 + -3x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 43 + -3x = 14 + 0 43 + -3x = 14 Add '-43' to each side of the equation. 43 + -43 + -3x = 14 + -43 Combine like terms: 43 + -43 = 0 0 + -3x = 14 + -43 -3x = 14 + -43 Combine like terms: 14 + -43 = -29 -3x = -29 Divide each side by '-3'. x = 9.666666667 Simplifying x = 9.666666667
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