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Simplifying -2x + 38 = x + 15 Reorder the terms: 38 + -2x = x + 15 Reorder the terms: 38 + -2x = 15 + x Solving 38 + -2x = 15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 38 + -2x + -1x = 15 + x + -1x Combine like terms: -2x + -1x = -3x 38 + -3x = 15 + x + -1x Combine like terms: x + -1x = 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 = -23 -3x = -23 Divide each side by '-3'. x = 7.666666667 Simplifying x = 7.666666667
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