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Simplifying 7x + 38 = 2x + -7 Reorder the terms: 38 + 7x = 2x + -7 Reorder the terms: 38 + 7x = -7 + 2x Solving 38 + 7x = -7 + 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 = -7 + 2x + -2x Combine like terms: 7x + -2x = 5x 38 + 5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + 5x = -7 + 0 38 + 5x = -7 Add '-38' to each side of the equation. 38 + -38 + 5x = -7 + -38 Combine like terms: 38 + -38 = 0 0 + 5x = -7 + -38 5x = -7 + -38 Combine like terms: -7 + -38 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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