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Simplifying 8(2x + -3) + -5(3y + -4) = 3y + -7x Reorder the terms: 8(-3 + 2x) + -5(3y + -4) = 3y + -7x (-3 * 8 + 2x * 8) + -5(3y + -4) = 3y + -7x (-24 + 16x) + -5(3y + -4) = 3y + -7x Reorder the terms: -24 + 16x + -5(-4 + 3y) = 3y + -7x -24 + 16x + (-4 * -5 + 3y * -5) = 3y + -7x -24 + 16x + (20 + -15y) = 3y + -7x Reorder the terms: -24 + 20 + 16x + -15y = 3y + -7x Combine like terms: -24 + 20 = -4 -4 + 16x + -15y = 3y + -7x Reorder the terms: -4 + 16x + -15y = -7x + 3y Solving -4 + 16x + -15y = -7x + 3y 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. -4 + 16x + 7x + -15y = -7x + 7x + 3y Combine like terms: 16x + 7x = 23x -4 + 23x + -15y = -7x + 7x + 3y Combine like terms: -7x + 7x = 0 -4 + 23x + -15y = 0 + 3y -4 + 23x + -15y = 3y Add '4' to each side of the equation. -4 + 23x + 4 + -15y = 4 + 3y Reorder the terms: -4 + 4 + 23x + -15y = 4 + 3y Combine like terms: -4 + 4 = 0 0 + 23x + -15y = 4 + 3y 23x + -15y = 4 + 3y Add '15y' to each side of the equation. 23x + -15y + 15y = 4 + 3y + 15y Combine like terms: -15y + 15y = 0 23x + 0 = 4 + 3y + 15y 23x = 4 + 3y + 15y Combine like terms: 3y + 15y = 18y 23x = 4 + 18y Divide each side by '23'. x = 0.1739130435 + 0.7826086957y Simplifying x = 0.1739130435 + 0.7826086957y
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