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Simplifying 10 + -2(x + -1y) = 3x + 1 10 + (x * -2 + -1y * -2) = 3x + 1 10 + (-2x + 2y) = 3x + 1 Reorder the terms: 10 + -2x + 2y = 1 + 3x Solving 10 + -2x + 2y = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -2x + -3x + 2y = 1 + 3x + -3x Combine like terms: -2x + -3x = -5x 10 + -5x + 2y = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -5x + 2y = 1 + 0 10 + -5x + 2y = 1 Add '-10' to each side of the equation. 10 + -5x + -10 + 2y = 1 + -10 Reorder the terms: 10 + -10 + -5x + 2y = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -5x + 2y = 1 + -10 -5x + 2y = 1 + -10 Combine like terms: 1 + -10 = -9 -5x + 2y = -9 Add '-2y' to each side of the equation. -5x + 2y + -2y = -9 + -2y Combine like terms: 2y + -2y = 0 -5x + 0 = -9 + -2y -5x = -9 + -2y Divide each side by '-5'. x = 1.8 + 0.4y Simplifying x = 1.8 + 0.4y
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