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Simplifying 3(x + -2y) = -1r(x + 2y) (x * 3 + -2y * 3) = -1r(x + 2y) (3x + -6y) = -1r(x + 2y) 3x + -6y = (x * -1r + 2y * -1r) 3x + -6y = (-1rx + -2ry) Solving 3x + -6y = -1rx + -2ry Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'rx' to each side of the equation. 3x + rx + -6y = -1rx + rx + -2ry Reorder the terms: rx + 3x + -6y = -1rx + rx + -2ry Combine like terms: -1rx + rx = 0 rx + 3x + -6y = 0 + -2ry rx + 3x + -6y = -2ry Add '6y' to each side of the equation. rx + 3x + -6y + 6y = -2ry + 6y Combine like terms: -6y + 6y = 0 rx + 3x + 0 = -2ry + 6y rx + 3x = -2ry + 6y Reorder the terms: rx + 2ry + 3x + -6y = -2ry + 6y + 2ry + -6y Reorder the terms: rx + 2ry + 3x + -6y = -2ry + 2ry + 6y + -6y Combine like terms: -2ry + 2ry = 0 rx + 2ry + 3x + -6y = 0 + 6y + -6y rx + 2ry + 3x + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 rx + 2ry + 3x + -6y = 0 The solution to this equation could not be determined.
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