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Simplifying -10x + 8y + -6 = 3x + -7y + 4 Reorder the terms: -6 + -10x + 8y = 3x + -7y + 4 Reorder the terms: -6 + -10x + 8y = 4 + 3x + -7y Solving -6 + -10x + 8y = 4 + 3x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -10x + -3x + 8y = 4 + 3x + -3x + -7y Combine like terms: -10x + -3x = -13x -6 + -13x + 8y = 4 + 3x + -3x + -7y Combine like terms: 3x + -3x = 0 -6 + -13x + 8y = 4 + 0 + -7y -6 + -13x + 8y = 4 + -7y Add '6' to each side of the equation. -6 + -13x + 6 + 8y = 4 + 6 + -7y Reorder the terms: -6 + 6 + -13x + 8y = 4 + 6 + -7y Combine like terms: -6 + 6 = 0 0 + -13x + 8y = 4 + 6 + -7y -13x + 8y = 4 + 6 + -7y Combine like terms: 4 + 6 = 10 -13x + 8y = 10 + -7y Add '-8y' to each side of the equation. -13x + 8y + -8y = 10 + -7y + -8y Combine like terms: 8y + -8y = 0 -13x + 0 = 10 + -7y + -8y -13x = 10 + -7y + -8y Combine like terms: -7y + -8y = -15y -13x = 10 + -15y Divide each side by '-13'. x = -0.7692307692 + 1.153846154y Simplifying x = -0.7692307692 + 1.153846154y
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