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Simplifying 5(y + -3x) = 8 + -2x Reorder the terms: 5(-3x + y) = 8 + -2x (-3x * 5 + y * 5) = 8 + -2x (-15x + 5y) = 8 + -2x Solving -15x + 5y = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15x + 2x + 5y = 8 + -2x + 2x Combine like terms: -15x + 2x = -13x -13x + 5y = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 -13x + 5y = 8 + 0 -13x + 5y = 8 Add '-5y' to each side of the equation. -13x + 5y + -5y = 8 + -5y Combine like terms: 5y + -5y = 0 -13x + 0 = 8 + -5y -13x = 8 + -5y Divide each side by '-13'. x = -0.6153846154 + 0.3846153846y Simplifying x = -0.6153846154 + 0.3846153846y
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