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Simplifying 4(0.5x + -3) + -1(y + 4) = 0 Reorder the terms: 4(-3 + 0.5x) + -1(y + 4) = 0 (-3 * 4 + 0.5x * 4) + -1(y + 4) = 0 (-12 + 2x) + -1(y + 4) = 0 Reorder the terms: -12 + 2x + -1(4 + y) = 0 -12 + 2x + (4 * -1 + y * -1) = 0 -12 + 2x + (-4 + -1y) = 0 Reorder the terms: -12 + -4 + 2x + -1y = 0 Combine like terms: -12 + -4 = -16 -16 + 2x + -1y = 0 Solving -16 + 2x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2x + 16 + -1y = 0 + 16 Reorder the terms: -16 + 16 + 2x + -1y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2x + -1y = 0 + 16 2x + -1y = 0 + 16 Combine like terms: 0 + 16 = 16 2x + -1y = 16 Add 'y' to each side of the equation. 2x + -1y + y = 16 + y Combine like terms: -1y + y = 0 2x + 0 = 16 + y 2x = 16 + y Divide each side by '2'. x = 8 + 0.5y Simplifying x = 8 + 0.5y
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