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Simplifying (4x + -2y + -6) + -1(3y + 10) + -2y + 1 = 0 Reorder the terms: (-6 + 4x + -2y) + -1(3y + 10) + -2y + 1 = 0 Remove parenthesis around (-6 + 4x + -2y) -6 + 4x + -2y + -1(3y + 10) + -2y + 1 = 0 Reorder the terms: -6 + 4x + -2y + -1(10 + 3y) + -2y + 1 = 0 -6 + 4x + -2y + (10 * -1 + 3y * -1) + -2y + 1 = 0 -6 + 4x + -2y + (-10 + -3y) + -2y + 1 = 0 Reorder the terms: -6 + -10 + 1 + 4x + -2y + -3y + -2y = 0 Combine like terms: -6 + -10 = -16 -16 + 1 + 4x + -2y + -3y + -2y = 0 Combine like terms: -16 + 1 = -15 -15 + 4x + -2y + -3y + -2y = 0 Combine like terms: -2y + -3y = -5y -15 + 4x + -5y + -2y = 0 Combine like terms: -5y + -2y = -7y -15 + 4x + -7y = 0 Solving -15 + 4x + -7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 4x + 15 + -7y = 0 + 15 Reorder the terms: -15 + 15 + 4x + -7y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4x + -7y = 0 + 15 4x + -7y = 0 + 15 Combine like terms: 0 + 15 = 15 4x + -7y = 15 Add '7y' to each side of the equation. 4x + -7y + 7y = 15 + 7y Combine like terms: -7y + 7y = 0 4x + 0 = 15 + 7y 4x = 15 + 7y Divide each side by '4'. x = 3.75 + 1.75y Simplifying x = 3.75 + 1.75y
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