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Simplifying 3x + 29 = 7x + -43 Reorder the terms: 29 + 3x = 7x + -43 Reorder the terms: 29 + 3x = -43 + 7x Solving 29 + 3x = -43 + 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. 29 + 3x + -7x = -43 + 7x + -7x Combine like terms: 3x + -7x = -4x 29 + -4x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + -4x = -43 + 0 29 + -4x = -43 Add '-29' to each side of the equation. 29 + -29 + -4x = -43 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = -43 + -29 -4x = -43 + -29 Combine like terms: -43 + -29 = -72 -4x = -72 Divide each side by '-4'. x = 18 Simplifying x = 18
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