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Simplifying 4(1 + -2x) + -3(3 + -1y) = -12 (1 * 4 + -2x * 4) + -3(3 + -1y) = -12 (4 + -8x) + -3(3 + -1y) = -12 4 + -8x + (3 * -3 + -1y * -3) = -12 4 + -8x + (-9 + 3y) = -12 Reorder the terms: 4 + -9 + -8x + 3y = -12 Combine like terms: 4 + -9 = -5 -5 + -8x + 3y = -12 Solving -5 + -8x + 3y = -12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -8x + 5 + 3y = -12 + 5 Reorder the terms: -5 + 5 + -8x + 3y = -12 + 5 Combine like terms: -5 + 5 = 0 0 + -8x + 3y = -12 + 5 -8x + 3y = -12 + 5 Combine like terms: -12 + 5 = -7 -8x + 3y = -7 Add '-3y' to each side of the equation. -8x + 3y + -3y = -7 + -3y Combine like terms: 3y + -3y = 0 -8x + 0 = -7 + -3y -8x = -7 + -3y Divide each side by '-8'. x = 0.875 + 0.375y Simplifying x = 0.875 + 0.375y
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