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Simplifying 38 + 5x = 7 + -8x Solving 38 + 5x = 7 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 38 + 5x + 8x = 7 + -8x + 8x Combine like terms: 5x + 8x = 13x 38 + 13x = 7 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 13x = 7 + 0 38 + 13x = 7 Add '-38' to each side of the equation. 38 + -38 + 13x = 7 + -38 Combine like terms: 38 + -38 = 0 0 + 13x = 7 + -38 13x = 7 + -38 Combine like terms: 7 + -38 = -31 13x = -31 Divide each side by '13'. x = -2.384615385 Simplifying x = -2.384615385
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