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Simplifying 3x + -5y + 2 = 6x + -4 Reorder the terms: 2 + 3x + -5y = 6x + -4 Reorder the terms: 2 + 3x + -5y = -4 + 6x Solving 2 + 3x + -5y = -4 + 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. 2 + 3x + -6x + -5y = -4 + 6x + -6x Combine like terms: 3x + -6x = -3x 2 + -3x + -5y = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -3x + -5y = -4 + 0 2 + -3x + -5y = -4 Add '-2' to each side of the equation. 2 + -3x + -2 + -5y = -4 + -2 Reorder the terms: 2 + -2 + -3x + -5y = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -3x + -5y = -4 + -2 -3x + -5y = -4 + -2 Combine like terms: -4 + -2 = -6 -3x + -5y = -6 Add '5y' to each side of the equation. -3x + -5y + 5y = -6 + 5y Combine like terms: -5y + 5y = 0 -3x + 0 = -6 + 5y -3x = -6 + 5y Divide each side by '-3'. x = 2 + -1.666666667y Simplifying x = 2 + -1.666666667y
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