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Simplifying 2(x + -4) = 5(x + 2y) Reorder the terms: 2(-4 + x) = 5(x + 2y) (-4 * 2 + x * 2) = 5(x + 2y) (-8 + 2x) = 5(x + 2y) -8 + 2x = (x * 5 + 2y * 5) -8 + 2x = (5x + 10y) Solving -8 + 2x = 5x + 10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 2x + -5x = 5x + -5x + 10y Combine like terms: 2x + -5x = -3x -8 + -3x = 5x + -5x + 10y Combine like terms: 5x + -5x = 0 -8 + -3x = 0 + 10y -8 + -3x = 10y Add '8' to each side of the equation. -8 + 8 + -3x = 8 + 10y Combine like terms: -8 + 8 = 0 0 + -3x = 8 + 10y -3x = 8 + 10y Divide each side by '-3'. x = -2.666666667 + -3.333333333y Simplifying x = -2.666666667 + -3.333333333y
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