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Simplifying x + -6 + 3x = 100 + -10x + -50 Reorder the terms: -6 + x + 3x = 100 + -10x + -50 Combine like terms: x + 3x = 4x -6 + 4x = 100 + -10x + -50 Reorder the terms: -6 + 4x = 100 + -50 + -10x Combine like terms: 100 + -50 = 50 -6 + 4x = 50 + -10x Solving -6 + 4x = 50 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -6 + 4x + 10x = 50 + -10x + 10x Combine like terms: 4x + 10x = 14x -6 + 14x = 50 + -10x + 10x Combine like terms: -10x + 10x = 0 -6 + 14x = 50 + 0 -6 + 14x = 50 Add '6' to each side of the equation. -6 + 6 + 14x = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 50 + 6 14x = 50 + 6 Combine like terms: 50 + 6 = 56 14x = 56 Divide each side by '14'. x = 4 Simplifying x = 4
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