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Simplifying 5x + -38 = 2x + 15 Reorder the terms: -38 + 5x = 2x + 15 Reorder the terms: -38 + 5x = 15 + 2x Solving -38 + 5x = 15 + 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 + 5x + -2x = 15 + 2x + -2x Combine like terms: 5x + -2x = 3x -38 + 3x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -38 + 3x = 15 + 0 -38 + 3x = 15 Add '38' to each side of the equation. -38 + 38 + 3x = 15 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = 15 + 38 3x = 15 + 38 Combine like terms: 15 + 38 = 53 3x = 53 Divide each side by '3'. x = 17.66666667 Simplifying x = 17.66666667
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