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Simplifying 4(X + -2) = 3(2X + 3) Reorder the terms: 4(-2 + X) = 3(2X + 3) (-2 * 4 + X * 4) = 3(2X + 3) (-8 + 4X) = 3(2X + 3) Reorder the terms: -8 + 4X = 3(3 + 2X) -8 + 4X = (3 * 3 + 2X * 3) -8 + 4X = (9 + 6X) Solving -8 + 4X = 9 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -8 + 4X + -6X = 9 + 6X + -6X Combine like terms: 4X + -6X = -2X -8 + -2X = 9 + 6X + -6X Combine like terms: 6X + -6X = 0 -8 + -2X = 9 + 0 -8 + -2X = 9 Add '8' to each side of the equation. -8 + 8 + -2X = 9 + 8 Combine like terms: -8 + 8 = 0 0 + -2X = 9 + 8 -2X = 9 + 8 Combine like terms: 9 + 8 = 17 -2X = 17 Divide each side by '-2'. X = -8.5 Simplifying X = -8.5
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