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Simplifying 5x + -1(72 + -8y) + 3x + -5y = 42 5x + (72 * -1 + -8y * -1) + 3x + -5y = 42 5x + (-72 + 8y) + 3x + -5y = 42 Reorder the terms: -72 + 5x + 3x + 8y + -5y = 42 Combine like terms: 5x + 3x = 8x -72 + 8x + 8y + -5y = 42 Combine like terms: 8y + -5y = 3y -72 + 8x + 3y = 42 Solving -72 + 8x + 3y = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 8x + 72 + 3y = 42 + 72 Reorder the terms: -72 + 72 + 8x + 3y = 42 + 72 Combine like terms: -72 + 72 = 0 0 + 8x + 3y = 42 + 72 8x + 3y = 42 + 72 Combine like terms: 42 + 72 = 114 8x + 3y = 114 Add '-3y' to each side of the equation. 8x + 3y + -3y = 114 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 114 + -3y 8x = 114 + -3y Divide each side by '8'. x = 14.25 + -0.375y Simplifying x = 14.25 + -0.375y
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