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Simplifying 3y + 6x + 2 = 4x + -3 + -2x Reorder the terms: 2 + 6x + 3y = 4x + -3 + -2x Reorder the terms: 2 + 6x + 3y = -3 + 4x + -2x Combine like terms: 4x + -2x = 2x 2 + 6x + 3y = -3 + 2x Solving 2 + 6x + 3y = -3 + 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. 2 + 6x + -2x + 3y = -3 + 2x + -2x Combine like terms: 6x + -2x = 4x 2 + 4x + 3y = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 4x + 3y = -3 + 0 2 + 4x + 3y = -3 Add '-2' to each side of the equation. 2 + 4x + -2 + 3y = -3 + -2 Reorder the terms: 2 + -2 + 4x + 3y = -3 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + 3y = -3 + -2 4x + 3y = -3 + -2 Combine like terms: -3 + -2 = -5 4x + 3y = -5 Add '-3y' to each side of the equation. 4x + 3y + -3y = -5 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = -5 + -3y 4x = -5 + -3y Divide each side by '4'. x = -1.25 + -0.75y Simplifying x = -1.25 + -0.75y
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