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Simplifying 6x + 61 = 2x + 29 Reorder the terms: 61 + 6x = 2x + 29 Reorder the terms: 61 + 6x = 29 + 2x Solving 61 + 6x = 29 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 61 + 6x + -2x = 29 + 2x + -2x Combine like terms: 6x + -2x = 4x 61 + 4x = 29 + 2x + -2x Combine like terms: 2x + -2x = 0 61 + 4x = 29 + 0 61 + 4x = 29 Add '-61' to each side of the equation. 61 + -61 + 4x = 29 + -61 Combine like terms: 61 + -61 = 0 0 + 4x = 29 + -61 4x = 29 + -61 Combine like terms: 29 + -61 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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