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Simplifying 5x + -4 = 101 + -10x Reorder the terms: -4 + 5x = 101 + -10x Solving -4 + 5x = 101 + -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. -4 + 5x + 10x = 101 + -10x + 10x Combine like terms: 5x + 10x = 15x -4 + 15x = 101 + -10x + 10x Combine like terms: -10x + 10x = 0 -4 + 15x = 101 + 0 -4 + 15x = 101 Add '4' to each side of the equation. -4 + 4 + 15x = 101 + 4 Combine like terms: -4 + 4 = 0 0 + 15x = 101 + 4 15x = 101 + 4 Combine like terms: 101 + 4 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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