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Simplifying 5 + 5(3X + 2) + -3X = 2(2X + -1) + 49 Reorder the terms: 5 + 5(2 + 3X) + -3X = 2(2X + -1) + 49 5 + (2 * 5 + 3X * 5) + -3X = 2(2X + -1) + 49 5 + (10 + 15X) + -3X = 2(2X + -1) + 49 Combine like terms: 5 + 10 = 15 15 + 15X + -3X = 2(2X + -1) + 49 Combine like terms: 15X + -3X = 12X 15 + 12X = 2(2X + -1) + 49 Reorder the terms: 15 + 12X = 2(-1 + 2X) + 49 15 + 12X = (-1 * 2 + 2X * 2) + 49 15 + 12X = (-2 + 4X) + 49 Reorder the terms: 15 + 12X = -2 + 49 + 4X Combine like terms: -2 + 49 = 47 15 + 12X = 47 + 4X Solving 15 + 12X = 47 + 4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4X' to each side of the equation. 15 + 12X + -4X = 47 + 4X + -4X Combine like terms: 12X + -4X = 8X 15 + 8X = 47 + 4X + -4X Combine like terms: 4X + -4X = 0 15 + 8X = 47 + 0 15 + 8X = 47 Add '-15' to each side of the equation. 15 + -15 + 8X = 47 + -15 Combine like terms: 15 + -15 = 0 0 + 8X = 47 + -15 8X = 47 + -15 Combine like terms: 47 + -15 = 32 8X = 32 Divide each side by '8'. X = 4 Simplifying X = 4
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