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Simplifying 3x + -4(x + -4) + 5(y + -2) = 0 Reorder the terms: 3x + -4(-4 + x) + 5(y + -2) = 0 3x + (-4 * -4 + x * -4) + 5(y + -2) = 0 3x + (16 + -4x) + 5(y + -2) = 0 Reorder the terms: 3x + 16 + -4x + 5(-2 + y) = 0 3x + 16 + -4x + (-2 * 5 + y * 5) = 0 3x + 16 + -4x + (-10 + 5y) = 0 Reorder the terms: 16 + -10 + 3x + -4x + 5y = 0 Combine like terms: 16 + -10 = 6 6 + 3x + -4x + 5y = 0 Combine like terms: 3x + -4x = -1x 6 + -1x + 5y = 0 Solving 6 + -1x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1x + -6 + 5y = 0 + -6 Reorder the terms: 6 + -6 + -1x + 5y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x + 5y = 0 + -6 -1x + 5y = 0 + -6 Combine like terms: 0 + -6 = -6 -1x + 5y = -6 Add '-5y' to each side of the equation. -1x + 5y + -5y = -6 + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = -6 + -5y -1x = -6 + -5y Divide each side by '-1'. x = 6 + 5y Simplifying x = 6 + 5y
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