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Simplifying -8x + 3(2y + -10) = -55 + 3y Reorder the terms: -8x + 3(-10 + 2y) = -55 + 3y -8x + (-10 * 3 + 2y * 3) = -55 + 3y -8x + (-30 + 6y) = -55 + 3y Reorder the terms: -30 + -8x + 6y = -55 + 3y Solving -30 + -8x + 6y = -55 + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -8x + 30 + 6y = -55 + 30 + 3y Reorder the terms: -30 + 30 + -8x + 6y = -55 + 30 + 3y Combine like terms: -30 + 30 = 0 0 + -8x + 6y = -55 + 30 + 3y -8x + 6y = -55 + 30 + 3y Combine like terms: -55 + 30 = -25 -8x + 6y = -25 + 3y Add '-6y' to each side of the equation. -8x + 6y + -6y = -25 + 3y + -6y Combine like terms: 6y + -6y = 0 -8x + 0 = -25 + 3y + -6y -8x = -25 + 3y + -6y Combine like terms: 3y + -6y = -3y -8x = -25 + -3y Divide each side by '-8'. x = 3.125 + 0.375y Simplifying x = 3.125 + 0.375y
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