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Simplifying 84y + 4x + 192 = 78y + 2x + 204 Reorder the terms: 192 + 4x + 84y = 78y + 2x + 204 Reorder the terms: 192 + 4x + 84y = 204 + 2x + 78y Solving 192 + 4x + 84y = 204 + 2x + 78y 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. 192 + 4x + -2x + 84y = 204 + 2x + -2x + 78y Combine like terms: 4x + -2x = 2x 192 + 2x + 84y = 204 + 2x + -2x + 78y Combine like terms: 2x + -2x = 0 192 + 2x + 84y = 204 + 0 + 78y 192 + 2x + 84y = 204 + 78y Add '-192' to each side of the equation. 192 + 2x + -192 + 84y = 204 + -192 + 78y Reorder the terms: 192 + -192 + 2x + 84y = 204 + -192 + 78y Combine like terms: 192 + -192 = 0 0 + 2x + 84y = 204 + -192 + 78y 2x + 84y = 204 + -192 + 78y Combine like terms: 204 + -192 = 12 2x + 84y = 12 + 78y Add '-84y' to each side of the equation. 2x + 84y + -84y = 12 + 78y + -84y Combine like terms: 84y + -84y = 0 2x + 0 = 12 + 78y + -84y 2x = 12 + 78y + -84y Combine like terms: 78y + -84y = -6y 2x = 12 + -6y Divide each side by '2'. x = 6 + -3y Simplifying x = 6 + -3y
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