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Simplifying 3(2X + -5) + 7 = 4X + -13 Reorder the terms: 3(-5 + 2X) + 7 = 4X + -13 (-5 * 3 + 2X * 3) + 7 = 4X + -13 (-15 + 6X) + 7 = 4X + -13 Reorder the terms: -15 + 7 + 6X = 4X + -13 Combine like terms: -15 + 7 = -8 -8 + 6X = 4X + -13 Reorder the terms: -8 + 6X = -13 + 4X Solving -8 + 6X = -13 + 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. -8 + 6X + -4X = -13 + 4X + -4X Combine like terms: 6X + -4X = 2X -8 + 2X = -13 + 4X + -4X Combine like terms: 4X + -4X = 0 -8 + 2X = -13 + 0 -8 + 2X = -13 Add '8' to each side of the equation. -8 + 8 + 2X = -13 + 8 Combine like terms: -8 + 8 = 0 0 + 2X = -13 + 8 2X = -13 + 8 Combine like terms: -13 + 8 = -5 2X = -5 Divide each side by '2'. X = -2.5 Simplifying X = -2.5
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