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Simplifying 6x + -3y = 8(x + -2y) 6x + -3y = (x * 8 + -2y * 8) 6x + -3y = (8x + -16y) Solving 6x + -3y = 8x + -16y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 6x + -8x + -3y = 8x + -8x + -16y Combine like terms: 6x + -8x = -2x -2x + -3y = 8x + -8x + -16y Combine like terms: 8x + -8x = 0 -2x + -3y = 0 + -16y -2x + -3y = -16y Add '3y' to each side of the equation. -2x + -3y + 3y = -16y + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = -16y + 3y -2x = -16y + 3y Combine like terms: -16y + 3y = -13y -2x = -13y Divide each side by '-2'. x = 6.5y Simplifying x = 6.5y
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