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Simplifying 3x + -4(x + -2) + 5(y + -4) = 0 Reorder the terms: 3x + -4(-2 + x) + 5(y + -4) = 0 3x + (-2 * -4 + x * -4) + 5(y + -4) = 0 3x + (8 + -4x) + 5(y + -4) = 0 Reorder the terms: 3x + 8 + -4x + 5(-4 + y) = 0 3x + 8 + -4x + (-4 * 5 + y * 5) = 0 3x + 8 + -4x + (-20 + 5y) = 0 Reorder the terms: 8 + -20 + 3x + -4x + 5y = 0 Combine like terms: 8 + -20 = -12 -12 + 3x + -4x + 5y = 0 Combine like terms: 3x + -4x = -1x -12 + -1x + 5y = 0 Solving -12 + -1x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -1x + 12 + 5y = 0 + 12 Reorder the terms: -12 + 12 + -1x + 5y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x + 5y = 0 + 12 -1x + 5y = 0 + 12 Combine like terms: 0 + 12 = 12 -1x + 5y = 12 Add '-5y' to each side of the equation. -1x + 5y + -5y = 12 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 12 + -5y -1x = 12 + -5y Divide each side by '-1'. x = -12 + 5y Simplifying x = -12 + 5y
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