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Simplifying (-2x + 10) + -1(6x + 5y + 12) + (x + 8y + -16) = 0 Reorder the terms: (10 + -2x) + -1(6x + 5y + 12) + (x + 8y + -16) = 0 Remove parenthesis around (10 + -2x) 10 + -2x + -1(6x + 5y + 12) + (x + 8y + -16) = 0 Reorder the terms: 10 + -2x + -1(12 + 6x + 5y) + (x + 8y + -16) = 0 10 + -2x + (12 * -1 + 6x * -1 + 5y * -1) + (x + 8y + -16) = 0 10 + -2x + (-12 + -6x + -5y) + (x + 8y + -16) = 0 Reorder the terms: 10 + -2x + -12 + -6x + -5y + (-16 + x + 8y) = 0 Remove parenthesis around (-16 + x + 8y) 10 + -2x + -12 + -6x + -5y + -16 + x + 8y = 0 Reorder the terms: 10 + -12 + -16 + -2x + -6x + x + -5y + 8y = 0 Combine like terms: 10 + -12 = -2 -2 + -16 + -2x + -6x + x + -5y + 8y = 0 Combine like terms: -2 + -16 = -18 -18 + -2x + -6x + x + -5y + 8y = 0 Combine like terms: -2x + -6x = -8x -18 + -8x + x + -5y + 8y = 0 Combine like terms: -8x + x = -7x -18 + -7x + -5y + 8y = 0 Combine like terms: -5y + 8y = 3y -18 + -7x + 3y = 0 Solving -18 + -7x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -7x + 18 + 3y = 0 + 18 Reorder the terms: -18 + 18 + -7x + 3y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -7x + 3y = 0 + 18 -7x + 3y = 0 + 18 Combine like terms: 0 + 18 = 18 -7x + 3y = 18 Add '-3y' to each side of the equation. -7x + 3y + -3y = 18 + -3y Combine like terms: 3y + -3y = 0 -7x + 0 = 18 + -3y -7x = 18 + -3y Divide each side by '-7'. x = -2.571428571 + 0.4285714286y Simplifying x = -2.571428571 + 0.4285714286y
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