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Simplifying 2x + 38 = 5x + -7 Reorder the terms: 38 + 2x = 5x + -7 Reorder the terms: 38 + 2x = -7 + 5x Solving 38 + 2x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 38 + 2x + -5x = -7 + 5x + -5x Combine like terms: 2x + -5x = -3x 38 + -3x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 38 + -3x = -7 + 0 38 + -3x = -7 Add '-38' to each side of the equation. 38 + -38 + -3x = -7 + -38 Combine like terms: 38 + -38 = 0 0 + -3x = -7 + -38 -3x = -7 + -38 Combine like terms: -7 + -38 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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