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Simplifying 2(3X + 4) + -2X = 7X + -3(-2X + 11) Reorder the terms: 2(4 + 3X) + -2X = 7X + -3(-2X + 11) (4 * 2 + 3X * 2) + -2X = 7X + -3(-2X + 11) (8 + 6X) + -2X = 7X + -3(-2X + 11) Combine like terms: 6X + -2X = 4X 8 + 4X = 7X + -3(-2X + 11) Reorder the terms: 8 + 4X = 7X + -3(11 + -2X) 8 + 4X = 7X + (11 * -3 + -2X * -3) 8 + 4X = 7X + (-33 + 6X) Reorder the terms: 8 + 4X = -33 + 7X + 6X Combine like terms: 7X + 6X = 13X 8 + 4X = -33 + 13X Solving 8 + 4X = -33 + 13X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-13X' to each side of the equation. 8 + 4X + -13X = -33 + 13X + -13X Combine like terms: 4X + -13X = -9X 8 + -9X = -33 + 13X + -13X Combine like terms: 13X + -13X = 0 8 + -9X = -33 + 0 8 + -9X = -33 Add '-8' to each side of the equation. 8 + -8 + -9X = -33 + -8 Combine like terms: 8 + -8 = 0 0 + -9X = -33 + -8 -9X = -33 + -8 Combine like terms: -33 + -8 = -41 -9X = -41 Divide each side by '-9'. X = 4.555555556 Simplifying X = 4.555555556
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