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Simplifying -9x + 6y + -15x + 3(2x + -5) = 5x + -8y Reorder the terms: -9x + 6y + -15x + 3(-5 + 2x) = 5x + -8y -9x + 6y + -15x + (-5 * 3 + 2x * 3) = 5x + -8y -9x + 6y + -15x + (-15 + 6x) = 5x + -8y Reorder the terms: -15 + -9x + -15x + 6x + 6y = 5x + -8y Combine like terms: -9x + -15x = -24x -15 + -24x + 6x + 6y = 5x + -8y Combine like terms: -24x + 6x = -18x -15 + -18x + 6y = 5x + -8y Solving -15 + -18x + 6y = 5x + -8y 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 + -18x + -5x + 6y = 5x + -5x + -8y Combine like terms: -18x + -5x = -23x -15 + -23x + 6y = 5x + -5x + -8y Combine like terms: 5x + -5x = 0 -15 + -23x + 6y = 0 + -8y -15 + -23x + 6y = -8y Add '15' to each side of the equation. -15 + -23x + 15 + 6y = 15 + -8y Reorder the terms: -15 + 15 + -23x + 6y = 15 + -8y Combine like terms: -15 + 15 = 0 0 + -23x + 6y = 15 + -8y -23x + 6y = 15 + -8y Add '-6y' to each side of the equation. -23x + 6y + -6y = 15 + -8y + -6y Combine like terms: 6y + -6y = 0 -23x + 0 = 15 + -8y + -6y -23x = 15 + -8y + -6y Combine like terms: -8y + -6y = -14y -23x = 15 + -14y Divide each side by '-23'. x = -0.652173913 + 0.6086956522y Simplifying x = -0.652173913 + 0.6086956522y
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