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Simplifying 4x + 6x + -28 = 42 + -4x Reorder the terms: -28 + 4x + 6x = 42 + -4x Combine like terms: 4x + 6x = 10x -28 + 10x = 42 + -4x Solving -28 + 10x = 42 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -28 + 10x + 4x = 42 + -4x + 4x Combine like terms: 10x + 4x = 14x -28 + 14x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 14x = 42 + 0 -28 + 14x = 42 Add '28' to each side of the equation. -28 + 28 + 14x = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = 42 + 28 14x = 42 + 28 Combine like terms: 42 + 28 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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