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Simplifying 3x + -38 = 7x + -6 Reorder the terms: -38 + 3x = 7x + -6 Reorder the terms: -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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