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Simplifying 0.7x(6y + -5) = 0.4x(y + -3) + -1.16 Reorder the terms: 0.7x(-5 + 6y) = 0.4x(y + -3) + -1.16 (-5 * 0.7x + 6y * 0.7x) = 0.4x(y + -3) + -1.16 (-3.5x + 4.2xy) = 0.4x(y + -3) + -1.16 Reorder the terms: -3.5x + 4.2xy = 0.4x(-3 + y) + -1.16 -3.5x + 4.2xy = (-3 * 0.4x + y * 0.4x) + -1.16 -3.5x + 4.2xy = (-1.2x + 0.4xy) + -1.16 Reorder the terms: -3.5x + 4.2xy = -1.16 + -1.2x + 0.4xy Solving -3.5x + 4.2xy = -1.16 + -1.2x + 0.4xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2x' to each side of the equation. -3.5x + 1.2x + 4.2xy = -1.16 + -1.2x + 1.2x + 0.4xy Combine like terms: -3.5x + 1.2x = -2.3x -2.3x + 4.2xy = -1.16 + -1.2x + 1.2x + 0.4xy Combine like terms: -1.2x + 1.2x = 0.0 -2.3x + 4.2xy = -1.16 + 0.0 + 0.4xy -2.3x + 4.2xy = -1.16 + 0.4xy Add '-0.4xy' to each side of the equation. -2.3x + 4.2xy + -0.4xy = -1.16 + 0.4xy + -0.4xy Combine like terms: 4.2xy + -0.4xy = 3.8xy -2.3x + 3.8xy = -1.16 + 0.4xy + -0.4xy Combine like terms: 0.4xy + -0.4xy = 0.0 -2.3x + 3.8xy = -1.16 + 0.0 -2.3x + 3.8xy = -1.16 Reorder the terms: 1.16 + -2.3x + 3.8xy = -1.16 + 1.16 Combine like terms: -1.16 + 1.16 = 0.00 1.16 + -2.3x + 3.8xy = 0.00 The solution to this equation could not be determined.
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