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Simplifying 4x + 61 = 6x + 17 Reorder the terms: 61 + 4x = 6x + 17 Reorder the terms: 61 + 4x = 17 + 6x Solving 61 + 4x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 61 + 4x + -6x = 17 + 6x + -6x Combine like terms: 4x + -6x = -2x 61 + -2x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 61 + -2x = 17 + 0 61 + -2x = 17 Add '-61' to each side of the equation. 61 + -61 + -2x = 17 + -61 Combine like terms: 61 + -61 = 0 0 + -2x = 17 + -61 -2x = 17 + -61 Combine like terms: 17 + -61 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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