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Simplifying -3(2x + 5) + (x + 2y) + -3(x + y) = 0 Reorder the terms: -3(5 + 2x) + (x + 2y) + -3(x + y) = 0 (5 * -3 + 2x * -3) + (x + 2y) + -3(x + y) = 0 (-15 + -6x) + (x + 2y) + -3(x + y) = 0 Remove parenthesis around (x + 2y) -15 + -6x + x + 2y + -3(x + y) = 0 -15 + -6x + x + 2y + (x * -3 + y * -3) = 0 -15 + -6x + x + 2y + (-3x + -3y) = 0 Reorder the terms: -15 + -6x + x + -3x + 2y + -3y = 0 Combine like terms: -6x + x = -5x -15 + -5x + -3x + 2y + -3y = 0 Combine like terms: -5x + -3x = -8x -15 + -8x + 2y + -3y = 0 Combine like terms: 2y + -3y = -1y -15 + -8x + -1y = 0 Solving -15 + -8x + -1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -8x + 15 + -1y = 0 + 15 Reorder the terms: -15 + 15 + -8x + -1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -8x + -1y = 0 + 15 -8x + -1y = 0 + 15 Combine like terms: 0 + 15 = 15 -8x + -1y = 15 Add 'y' to each side of the equation. -8x + -1y + y = 15 + y Combine like terms: -1y + y = 0 -8x + 0 = 15 + y -8x = 15 + y Divide each side by '-8'. x = -1.875 + -0.125y Simplifying x = -1.875 + -0.125y
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