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Simplifying 38 + 6x + -5x = 2x + 7 Combine like terms: 6x + -5x = 1x 38 + 1x = 2x + 7 Reorder the terms: 38 + 1x = 7 + 2x Solving 38 + 1x = 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 + 1x + -2x = 7 + 2x + -2x Combine like terms: 1x + -2x = -1x 38 + -1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 38 + -1x = 7 + 0 38 + -1x = 7 Add '-38' to each side of the equation. 38 + -38 + -1x = 7 + -38 Combine like terms: 38 + -38 = 0 0 + -1x = 7 + -38 -1x = 7 + -38 Combine like terms: 7 + -38 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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