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Simplifying 6x + -15 + -3x = 17 + -4x + 10 Reorder the terms: -15 + 6x + -3x = 17 + -4x + 10 Combine like terms: 6x + -3x = 3x -15 + 3x = 17 + -4x + 10 Reorder the terms: -15 + 3x = 17 + 10 + -4x Combine like terms: 17 + 10 = 27 -15 + 3x = 27 + -4x Solving -15 + 3x = 27 + -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. -15 + 3x + 4x = 27 + -4x + 4x Combine like terms: 3x + 4x = 7x -15 + 7x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 7x = 27 + 0 -15 + 7x = 27 Add '15' to each side of the equation. -15 + 15 + 7x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 27 + 15 7x = 27 + 15 Combine like terms: 27 + 15 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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