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Simplifying 7x + 3x + -7 = 4x + -17 + -6 Reorder the terms: -7 + 7x + 3x = 4x + -17 + -6 Combine like terms: 7x + 3x = 10x -7 + 10x = 4x + -17 + -6 Reorder the terms: -7 + 10x = -17 + -6 + 4x Combine like terms: -17 + -6 = -23 -7 + 10x = -23 + 4x Solving -7 + 10x = -23 + 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. -7 + 10x + -4x = -23 + 4x + -4x Combine like terms: 10x + -4x = 6x -7 + 6x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 6x = -23 + 0 -7 + 6x = -23 Add '7' to each side of the equation. -7 + 7 + 6x = -23 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -23 + 7 6x = -23 + 7 Combine like terms: -23 + 7 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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