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Simplifying 38 + -3x = 6 + -7x Solving 38 + -3x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 38 + -3x + 7x = 6 + -7x + 7x Combine like terms: -3x + 7x = 4x 38 + 4x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 38 + 4x = 6 + 0 38 + 4x = 6 Add '-38' to each side of the equation. 38 + -38 + 4x = 6 + -38 Combine like terms: 38 + -38 = 0 0 + 4x = 6 + -38 4x = 6 + -38 Combine like terms: 6 + -38 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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