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Simplifying 38 + -1x = 8(5x + -5) Reorder the terms: 38 + -1x = 8(-5 + 5x) 38 + -1x = (-5 * 8 + 5x * 8) 38 + -1x = (-40 + 40x) Solving 38 + -1x = -40 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 38 + -1x + -40x = -40 + 40x + -40x Combine like terms: -1x + -40x = -41x 38 + -41x = -40 + 40x + -40x Combine like terms: 40x + -40x = 0 38 + -41x = -40 + 0 38 + -41x = -40 Add '-38' to each side of the equation. 38 + -38 + -41x = -40 + -38 Combine like terms: 38 + -38 = 0 0 + -41x = -40 + -38 -41x = -40 + -38 Combine like terms: -40 + -38 = -78 -41x = -78 Divide each side by '-41'. x = 1.902439024 Simplifying x = 1.902439024
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