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Simplifying 10x + -5 + 4x + -4 = 6x + 15 Reorder the terms: -5 + -4 + 10x + 4x = 6x + 15 Combine like terms: -5 + -4 = -9 -9 + 10x + 4x = 6x + 15 Combine like terms: 10x + 4x = 14x -9 + 14x = 6x + 15 Reorder the terms: -9 + 14x = 15 + 6x Solving -9 + 14x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 14x + -6x = 15 + 6x + -6x Combine like terms: 14x + -6x = 8x -9 + 8x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 8x = 15 + 0 -9 + 8x = 15 Add '9' to each side of the equation. -9 + 9 + 8x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 15 + 9 8x = 15 + 9 Combine like terms: 15 + 9 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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