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Simplifying 6x + 19 = 2x + 77 Reorder the terms: 19 + 6x = 2x + 77 Reorder the terms: 19 + 6x = 77 + 2x Solving 19 + 6x = 77 + 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. 19 + 6x + -2x = 77 + 2x + -2x Combine like terms: 6x + -2x = 4x 19 + 4x = 77 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 4x = 77 + 0 19 + 4x = 77 Add '-19' to each side of the equation. 19 + -19 + 4x = 77 + -19 Combine like terms: 19 + -19 = 0 0 + 4x = 77 + -19 4x = 77 + -19 Combine like terms: 77 + -19 = 58 4x = 58 Divide each side by '4'. x = 14.5 Simplifying x = 14.5
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