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Simplifying 5(4y + -5 + -3x) = 35 + -10y Reorder the terms: 5(-5 + -3x + 4y) = 35 + -10y (-5 * 5 + -3x * 5 + 4y * 5) = 35 + -10y (-25 + -15x + 20y) = 35 + -10y Solving -25 + -15x + 20y = 35 + -10y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + -15x + 25 + 20y = 35 + 25 + -10y Reorder the terms: -25 + 25 + -15x + 20y = 35 + 25 + -10y Combine like terms: -25 + 25 = 0 0 + -15x + 20y = 35 + 25 + -10y -15x + 20y = 35 + 25 + -10y Combine like terms: 35 + 25 = 60 -15x + 20y = 60 + -10y Add '-20y' to each side of the equation. -15x + 20y + -20y = 60 + -10y + -20y Combine like terms: 20y + -20y = 0 -15x + 0 = 60 + -10y + -20y -15x = 60 + -10y + -20y Combine like terms: -10y + -20y = -30y -15x = 60 + -30y Divide each side by '-15'. x = -4 + 2y Simplifying x = -4 + 2y
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