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Simplifying 3(x + -5) + 11y = 3y + -5x Reorder the terms: 3(-5 + x) + 11y = 3y + -5x (-5 * 3 + x * 3) + 11y = 3y + -5x (-15 + 3x) + 11y = 3y + -5x Reorder the terms: -15 + 3x + 11y = -5x + 3y Solving -15 + 3x + 11y = -5x + 3y 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 + 11y = -5x + 5x + 3y Combine like terms: 3x + 5x = 8x -15 + 8x + 11y = -5x + 5x + 3y Combine like terms: -5x + 5x = 0 -15 + 8x + 11y = 0 + 3y -15 + 8x + 11y = 3y Add '15' to each side of the equation. -15 + 8x + 15 + 11y = 15 + 3y Reorder the terms: -15 + 15 + 8x + 11y = 15 + 3y Combine like terms: -15 + 15 = 0 0 + 8x + 11y = 15 + 3y 8x + 11y = 15 + 3y Add '-11y' to each side of the equation. 8x + 11y + -11y = 15 + 3y + -11y Combine like terms: 11y + -11y = 0 8x + 0 = 15 + 3y + -11y 8x = 15 + 3y + -11y Combine like terms: 3y + -11y = -8y 8x = 15 + -8y Divide each side by '8'. x = 1.875 + -1y Simplifying x = 1.875 + -1y
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