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Simplifying 4x + -23 = 47 + -10x Reorder the terms: -23 + 4x = 47 + -10x Solving -23 + 4x = 47 + -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. -23 + 4x + 10x = 47 + -10x + 10x Combine like terms: 4x + 10x = 14x -23 + 14x = 47 + -10x + 10x Combine like terms: -10x + 10x = 0 -23 + 14x = 47 + 0 -23 + 14x = 47 Add '23' to each side of the equation. -23 + 23 + 14x = 47 + 23 Combine like terms: -23 + 23 = 0 0 + 14x = 47 + 23 14x = 47 + 23 Combine like terms: 47 + 23 = 70 14x = 70 Divide each side by '14'. x = 5 Simplifying x = 5
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