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Simplifying 38 + -7x = -2x + 8 Reorder the terms: 38 + -7x = 8 + -2x Solving 38 + -7x = 8 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 38 + -7x + 2x = 8 + -2x + 2x Combine like terms: -7x + 2x = -5x 38 + -5x = 8 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + -5x = 8 + 0 38 + -5x = 8 Add '-38' to each side of the equation. 38 + -38 + -5x = 8 + -38 Combine like terms: 38 + -38 = 0 0 + -5x = 8 + -38 -5x = 8 + -38 Combine like terms: 8 + -38 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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