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Simplifying 3(x + -5) = 5x + -1(3 + -1y) Reorder the terms: 3(-5 + x) = 5x + -1(3 + -1y) (-5 * 3 + x * 3) = 5x + -1(3 + -1y) (-15 + 3x) = 5x + -1(3 + -1y) -15 + 3x = 5x + (3 * -1 + -1y * -1) -15 + 3x = 5x + (-3 + 1y) Reorder the terms: -15 + 3x = -3 + 5x + 1y Solving -15 + 3x = -3 + 5x + 1y 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. -15 + 3x + -5x = -3 + 5x + -5x + 1y Combine like terms: 3x + -5x = -2x -15 + -2x = -3 + 5x + -5x + 1y Combine like terms: 5x + -5x = 0 -15 + -2x = -3 + 0 + 1y -15 + -2x = -3 + 1y Add '15' to each side of the equation. -15 + 15 + -2x = -3 + 15 + 1y Combine like terms: -15 + 15 = 0 0 + -2x = -3 + 15 + 1y -2x = -3 + 15 + 1y Combine like terms: -3 + 15 = 12 -2x = 12 + 1y Divide each side by '-2'. x = -6 + -0.5y Simplifying x = -6 + -0.5y
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