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Simplifying 3(2X + 5) = 2(4X + -3) Reorder the terms: 3(5 + 2X) = 2(4X + -3) (5 * 3 + 2X * 3) = 2(4X + -3) (15 + 6X) = 2(4X + -3) Reorder the terms: 15 + 6X = 2(-3 + 4X) 15 + 6X = (-3 * 2 + 4X * 2) 15 + 6X = (-6 + 8X) Solving 15 + 6X = -6 + 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. 15 + 6X + -8X = -6 + 8X + -8X Combine like terms: 6X + -8X = -2X 15 + -2X = -6 + 8X + -8X Combine like terms: 8X + -8X = 0 15 + -2X = -6 + 0 15 + -2X = -6 Add '-15' to each side of the equation. 15 + -15 + -2X = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -2X = -6 + -15 -2X = -6 + -15 Combine like terms: -6 + -15 = -21 -2X = -21 Divide each side by '-2'. X = 10.5 Simplifying X = 10.5
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