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Simplifying 3(y + -10) + 3x = -7x + -117y Reorder the terms: 3(-10 + y) + 3x = -7x + -117y (-10 * 3 + y * 3) + 3x = -7x + -117y (-30 + 3y) + 3x = -7x + -117y Reorder the terms: -30 + 3x + 3y = -7x + -117y Solving -30 + 3x + 3y = -7x + -117y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -30 + 3x + 7x + 3y = -7x + 7x + -117y Combine like terms: 3x + 7x = 10x -30 + 10x + 3y = -7x + 7x + -117y Combine like terms: -7x + 7x = 0 -30 + 10x + 3y = 0 + -117y -30 + 10x + 3y = -117y Add '30' to each side of the equation. -30 + 10x + 30 + 3y = 30 + -117y Reorder the terms: -30 + 30 + 10x + 3y = 30 + -117y Combine like terms: -30 + 30 = 0 0 + 10x + 3y = 30 + -117y 10x + 3y = 30 + -117y Add '-3y' to each side of the equation. 10x + 3y + -3y = 30 + -117y + -3y Combine like terms: 3y + -3y = 0 10x + 0 = 30 + -117y + -3y 10x = 30 + -117y + -3y Combine like terms: -117y + -3y = -120y 10x = 30 + -120y Divide each side by '10'. x = 3 + -12y Simplifying x = 3 + -12y
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