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Simplifying 3(5X + -2) + -58 = 8X + -1 Reorder the terms: 3(-2 + 5X) + -58 = 8X + -1 (-2 * 3 + 5X * 3) + -58 = 8X + -1 (-6 + 15X) + -58 = 8X + -1 Reorder the terms: -6 + -58 + 15X = 8X + -1 Combine like terms: -6 + -58 = -64 -64 + 15X = 8X + -1 Reorder the terms: -64 + 15X = -1 + 8X Solving -64 + 15X = -1 + 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. -64 + 15X + -8X = -1 + 8X + -8X Combine like terms: 15X + -8X = 7X -64 + 7X = -1 + 8X + -8X Combine like terms: 8X + -8X = 0 -64 + 7X = -1 + 0 -64 + 7X = -1 Add '64' to each side of the equation. -64 + 64 + 7X = -1 + 64 Combine like terms: -64 + 64 = 0 0 + 7X = -1 + 64 7X = -1 + 64 Combine like terms: -1 + 64 = 63 7X = 63 Divide each side by '7'. X = 9 Simplifying X = 9
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