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Simplifying 2(14x + -3y + 28x + 12.2 + -5y + -17.5) = 0 Reorder the terms: 2(12.2 + -17.5 + 14x + 28x + -3y + -5y) = 0 Combine like terms: 12.2 + -17.5 = -5.3 2(-5.3 + 14x + 28x + -3y + -5y) = 0 Combine like terms: 14x + 28x = 42x 2(-5.3 + 42x + -3y + -5y) = 0 Combine like terms: -3y + -5y = -8y 2(-5.3 + 42x + -8y) = 0 (-5.3 * 2 + 42x * 2 + -8y * 2) = 0 (-10.6 + 84x + -16y) = 0 Solving -10.6 + 84x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.6' to each side of the equation. -10.6 + 84x + 10.6 + -16y = 0 + 10.6 Reorder the terms: -10.6 + 10.6 + 84x + -16y = 0 + 10.6 Combine like terms: -10.6 + 10.6 = 0.0 0.0 + 84x + -16y = 0 + 10.6 84x + -16y = 0 + 10.6 Combine like terms: 0 + 10.6 = 10.6 84x + -16y = 10.6 Add '16y' to each side of the equation. 84x + -16y + 16y = 10.6 + 16y Combine like terms: -16y + 16y = 0 84x + 0 = 10.6 + 16y 84x = 10.6 + 16y Divide each side by '84'. x = 0.1261904762 + 0.1904761905y Simplifying x = 0.1261904762 + 0.1904761905y
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