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Simplifying 8(3x + -5) + 4y = 2(y + -3) + 3 Reorder the terms: 8(-5 + 3x) + 4y = 2(y + -3) + 3 (-5 * 8 + 3x * 8) + 4y = 2(y + -3) + 3 (-40 + 24x) + 4y = 2(y + -3) + 3 Reorder the terms: -40 + 24x + 4y = 2(-3 + y) + 3 -40 + 24x + 4y = (-3 * 2 + y * 2) + 3 -40 + 24x + 4y = (-6 + 2y) + 3 Reorder the terms: -40 + 24x + 4y = -6 + 3 + 2y Combine like terms: -6 + 3 = -3 -40 + 24x + 4y = -3 + 2y Solving -40 + 24x + 4y = -3 + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 24x + 40 + 4y = -3 + 40 + 2y Reorder the terms: -40 + 40 + 24x + 4y = -3 + 40 + 2y Combine like terms: -40 + 40 = 0 0 + 24x + 4y = -3 + 40 + 2y 24x + 4y = -3 + 40 + 2y Combine like terms: -3 + 40 = 37 24x + 4y = 37 + 2y Add '-4y' to each side of the equation. 24x + 4y + -4y = 37 + 2y + -4y Combine like terms: 4y + -4y = 0 24x + 0 = 37 + 2y + -4y 24x = 37 + 2y + -4y Combine like terms: 2y + -4y = -2y 24x = 37 + -2y Divide each side by '24'. x = 1.541666667 + -0.08333333333y Simplifying x = 1.541666667 + -0.08333333333y
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