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Simplifying 8x + -7y = 5(x + -2) Reorder the terms: 8x + -7y = 5(-2 + x) 8x + -7y = (-2 * 5 + x * 5) 8x + -7y = (-10 + 5x) Solving 8x + -7y = -10 + 5x 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. 8x + -5x + -7y = -10 + 5x + -5x Combine like terms: 8x + -5x = 3x 3x + -7y = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 3x + -7y = -10 + 0 3x + -7y = -10 Add '7y' to each side of the equation. 3x + -7y + 7y = -10 + 7y Combine like terms: -7y + 7y = 0 3x + 0 = -10 + 7y 3x = -10 + 7y Divide each side by '3'. x = -3.333333333 + 2.333333333y Simplifying x = -3.333333333 + 2.333333333y
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