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Simplifying 2x + -3y + 6 = 10 + 4x Reorder the terms: 6 + 2x + -3y = 10 + 4x Solving 6 + 2x + -3y = 10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 2x + -4x + -3y = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x 6 + -2x + -3y = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + -2x + -3y = 10 + 0 6 + -2x + -3y = 10 Add '-6' to each side of the equation. 6 + -2x + -6 + -3y = 10 + -6 Reorder the terms: 6 + -6 + -2x + -3y = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x + -3y = 10 + -6 -2x + -3y = 10 + -6 Combine like terms: 10 + -6 = 4 -2x + -3y = 4 Add '3y' to each side of the equation. -2x + -3y + 3y = 4 + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 4 + 3y -2x = 4 + 3y Divide each side by '-2'. x = -2 + -1.5y Simplifying x = -2 + -1.5y
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