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Simplifying 16x + -8y + 40 = 4x + -2y + 10 Reorder the terms: 40 + 16x + -8y = 4x + -2y + 10 Reorder the terms: 40 + 16x + -8y = 10 + 4x + -2y Solving 40 + 16x + -8y = 10 + 4x + -2y 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. 40 + 16x + -4x + -8y = 10 + 4x + -4x + -2y Combine like terms: 16x + -4x = 12x 40 + 12x + -8y = 10 + 4x + -4x + -2y Combine like terms: 4x + -4x = 0 40 + 12x + -8y = 10 + 0 + -2y 40 + 12x + -8y = 10 + -2y Add '-40' to each side of the equation. 40 + 12x + -40 + -8y = 10 + -40 + -2y Reorder the terms: 40 + -40 + 12x + -8y = 10 + -40 + -2y Combine like terms: 40 + -40 = 0 0 + 12x + -8y = 10 + -40 + -2y 12x + -8y = 10 + -40 + -2y Combine like terms: 10 + -40 = -30 12x + -8y = -30 + -2y Add '8y' to each side of the equation. 12x + -8y + 8y = -30 + -2y + 8y Combine like terms: -8y + 8y = 0 12x + 0 = -30 + -2y + 8y 12x = -30 + -2y + 8y Combine like terms: -2y + 8y = 6y 12x = -30 + 6y Divide each side by '12'. x = -2.5 + 0.5y Simplifying x = -2.5 + 0.5y
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