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Simplifying 4(2X + 8) = (3X + -2) * 5 Reorder the terms: 4(8 + 2X) = (3X + -2) * 5 (8 * 4 + 2X * 4) = (3X + -2) * 5 (32 + 8X) = (3X + -2) * 5 Reorder the terms: 32 + 8X = (-2 + 3X) * 5 Reorder the terms for easier multiplication: 32 + 8X = 5(-2 + 3X) 32 + 8X = (-2 * 5 + 3X * 5) 32 + 8X = (-10 + 15X) Solving 32 + 8X = -10 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 32 + 8X + -15X = -10 + 15X + -15X Combine like terms: 8X + -15X = -7X 32 + -7X = -10 + 15X + -15X Combine like terms: 15X + -15X = 0 32 + -7X = -10 + 0 32 + -7X = -10 Add '-32' to each side of the equation. 32 + -32 + -7X = -10 + -32 Combine like terms: 32 + -32 = 0 0 + -7X = -10 + -32 -7X = -10 + -32 Combine like terms: -10 + -32 = -42 -7X = -42 Divide each side by '-7'. X = 6 Simplifying X = 6
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