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Simplifying 7x + -29 = 4x + 74 Reorder the terms: -29 + 7x = 4x + 74 Reorder the terms: -29 + 7x = 74 + 4x Solving -29 + 7x = 74 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -29 + 7x + -4x = 74 + 4x + -4x Combine like terms: 7x + -4x = 3x -29 + 3x = 74 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + 3x = 74 + 0 -29 + 3x = 74 Add '29' to each side of the equation. -29 + 29 + 3x = 74 + 29 Combine like terms: -29 + 29 = 0 0 + 3x = 74 + 29 3x = 74 + 29 Combine like terms: 74 + 29 = 103 3x = 103 Divide each side by '3'. x = 34.33333333 Simplifying x = 34.33333333
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