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Simplifying x + -5(x + 2) = x + 3(3 + -2y) Reorder the terms: x + -5(2 + x) = x + 3(3 + -2y) x + (2 * -5 + x * -5) = x + 3(3 + -2y) x + (-10 + -5x) = x + 3(3 + -2y) Reorder the terms: -10 + x + -5x = x + 3(3 + -2y) Combine like terms: x + -5x = -4x -10 + -4x = x + 3(3 + -2y) -10 + -4x = x + (3 * 3 + -2y * 3) -10 + -4x = x + (9 + -6y) Reorder the terms: -10 + -4x = 9 + x + -6y Solving -10 + -4x = 9 + x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + -4x + -1x = 9 + x + -1x + -6y Combine like terms: -4x + -1x = -5x -10 + -5x = 9 + x + -1x + -6y Combine like terms: x + -1x = 0 -10 + -5x = 9 + 0 + -6y -10 + -5x = 9 + -6y Add '10' to each side of the equation. -10 + 10 + -5x = 9 + 10 + -6y Combine like terms: -10 + 10 = 0 0 + -5x = 9 + 10 + -6y -5x = 9 + 10 + -6y Combine like terms: 9 + 10 = 19 -5x = 19 + -6y Divide each side by '-5'. x = -3.8 + 1.2y Simplifying x = -3.8 + 1.2y
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