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Simplifying 3x + 29 = 3 + 7x + -6 Reorder the terms: 29 + 3x = 3 + 7x + -6 Reorder the terms: 29 + 3x = 3 + -6 + 7x Combine like terms: 3 + -6 = -3 29 + 3x = -3 + 7x Solving 29 + 3x = -3 + 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 = -3 + 7x + -7x Combine like terms: 3x + -7x = -4x 29 + -4x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + -4x = -3 + 0 29 + -4x = -3 Add '-29' to each side of the equation. 29 + -29 + -4x = -3 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = -3 + -29 -4x = -3 + -29 Combine like terms: -3 + -29 = -32 -4x = -32 Divide each side by '-4'. x = 8 Simplifying x = 8
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