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Simplifying (8x + 10y + -4) + -1(4x + 3y + -6) = 0 Reorder the terms: (-4 + 8x + 10y) + -1(4x + 3y + -6) = 0 Remove parenthesis around (-4 + 8x + 10y) -4 + 8x + 10y + -1(4x + 3y + -6) = 0 Reorder the terms: -4 + 8x + 10y + -1(-6 + 4x + 3y) = 0 -4 + 8x + 10y + (-6 * -1 + 4x * -1 + 3y * -1) = 0 -4 + 8x + 10y + (6 + -4x + -3y) = 0 Reorder the terms: -4 + 6 + 8x + -4x + 10y + -3y = 0 Combine like terms: -4 + 6 = 2 2 + 8x + -4x + 10y + -3y = 0 Combine like terms: 8x + -4x = 4x 2 + 4x + 10y + -3y = 0 Combine like terms: 10y + -3y = 7y 2 + 4x + 7y = 0 Solving 2 + 4x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4x + -2 + 7y = 0 + -2 Reorder the terms: 2 + -2 + 4x + 7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + 7y = 0 + -2 4x + 7y = 0 + -2 Combine like terms: 0 + -2 = -2 4x + 7y = -2 Add '-7y' to each side of the equation. 4x + 7y + -7y = -2 + -7y Combine like terms: 7y + -7y = 0 4x + 0 = -2 + -7y 4x = -2 + -7y Divide each side by '4'. x = -0.5 + -1.75y Simplifying x = -0.5 + -1.75y
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