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Simplifying 4x + 6y + -61 = 2x + 6y + -36 Reorder the terms: -61 + 4x + 6y = 2x + 6y + -36 Reorder the terms: -61 + 4x + 6y = -36 + 2x + 6y Add '-6y' to each side of the equation. -61 + 4x + 6y + -6y = -36 + 2x + 6y + -6y Combine like terms: 6y + -6y = 0 -61 + 4x + 0 = -36 + 2x + 6y + -6y -61 + 4x = -36 + 2x + 6y + -6y Combine like terms: 6y + -6y = 0 -61 + 4x = -36 + 2x + 0 -61 + 4x = -36 + 2x Solving -61 + 4x = -36 + 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 + 4x + -2x = -36 + 2x + -2x Combine like terms: 4x + -2x = 2x -61 + 2x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 -61 + 2x = -36 + 0 -61 + 2x = -36 Add '61' to each side of the equation. -61 + 61 + 2x = -36 + 61 Combine like terms: -61 + 61 = 0 0 + 2x = -36 + 61 2x = -36 + 61 Combine like terms: -36 + 61 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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