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Simplifying 8y + -3 + 2x + -4y = 7x + -5(3y + 2) Reorder the terms: -3 + 2x + 8y + -4y = 7x + -5(3y + 2) Combine like terms: 8y + -4y = 4y -3 + 2x + 4y = 7x + -5(3y + 2) Reorder the terms: -3 + 2x + 4y = 7x + -5(2 + 3y) -3 + 2x + 4y = 7x + (2 * -5 + 3y * -5) -3 + 2x + 4y = 7x + (-10 + -15y) Reorder the terms: -3 + 2x + 4y = -10 + 7x + -15y Solving -3 + 2x + 4y = -10 + 7x + -15y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + 2x + -7x + 4y = -10 + 7x + -7x + -15y Combine like terms: 2x + -7x = -5x -3 + -5x + 4y = -10 + 7x + -7x + -15y Combine like terms: 7x + -7x = 0 -3 + -5x + 4y = -10 + 0 + -15y -3 + -5x + 4y = -10 + -15y Add '3' to each side of the equation. -3 + -5x + 3 + 4y = -10 + 3 + -15y Reorder the terms: -3 + 3 + -5x + 4y = -10 + 3 + -15y Combine like terms: -3 + 3 = 0 0 + -5x + 4y = -10 + 3 + -15y -5x + 4y = -10 + 3 + -15y Combine like terms: -10 + 3 = -7 -5x + 4y = -7 + -15y Add '-4y' to each side of the equation. -5x + 4y + -4y = -7 + -15y + -4y Combine like terms: 4y + -4y = 0 -5x + 0 = -7 + -15y + -4y -5x = -7 + -15y + -4y Combine like terms: -15y + -4y = -19y -5x = -7 + -19y Divide each side by '-5'. x = 1.4 + 3.8y Simplifying x = 1.4 + 3.8y
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