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Simplifying 3(5x + -1) + -38 = 10x + -1 Reorder the terms: 3(-1 + 5x) + -38 = 10x + -1 (-1 * 3 + 5x * 3) + -38 = 10x + -1 (-3 + 15x) + -38 = 10x + -1 Reorder the terms: -3 + -38 + 15x = 10x + -1 Combine like terms: -3 + -38 = -41 -41 + 15x = 10x + -1 Reorder the terms: -41 + 15x = -1 + 10x Solving -41 + 15x = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -41 + 15x + -10x = -1 + 10x + -10x Combine like terms: 15x + -10x = 5x -41 + 5x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -41 + 5x = -1 + 0 -41 + 5x = -1 Add '41' to each side of the equation. -41 + 41 + 5x = -1 + 41 Combine like terms: -41 + 41 = 0 0 + 5x = -1 + 41 5x = -1 + 41 Combine like terms: -1 + 41 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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