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Simplifying 3(2X + 1) + 4(2X + -7) = 2(3X + 4) + 7 Reorder the terms: 3(1 + 2X) + 4(2X + -7) = 2(3X + 4) + 7 (1 * 3 + 2X * 3) + 4(2X + -7) = 2(3X + 4) + 7 (3 + 6X) + 4(2X + -7) = 2(3X + 4) + 7 Reorder the terms: 3 + 6X + 4(-7 + 2X) = 2(3X + 4) + 7 3 + 6X + (-7 * 4 + 2X * 4) = 2(3X + 4) + 7 3 + 6X + (-28 + 8X) = 2(3X + 4) + 7 Reorder the terms: 3 + -28 + 6X + 8X = 2(3X + 4) + 7 Combine like terms: 3 + -28 = -25 -25 + 6X + 8X = 2(3X + 4) + 7 Combine like terms: 6X + 8X = 14X -25 + 14X = 2(3X + 4) + 7 Reorder the terms: -25 + 14X = 2(4 + 3X) + 7 -25 + 14X = (4 * 2 + 3X * 2) + 7 -25 + 14X = (8 + 6X) + 7 Reorder the terms: -25 + 14X = 8 + 7 + 6X Combine like terms: 8 + 7 = 15 -25 + 14X = 15 + 6X Solving -25 + 14X = 15 + 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. -25 + 14X + -6X = 15 + 6X + -6X Combine like terms: 14X + -6X = 8X -25 + 8X = 15 + 6X + -6X Combine like terms: 6X + -6X = 0 -25 + 8X = 15 + 0 -25 + 8X = 15 Add '25' to each side of the equation. -25 + 25 + 8X = 15 + 25 Combine like terms: -25 + 25 = 0 0 + 8X = 15 + 25 8X = 15 + 25 Combine like terms: 15 + 25 = 40 8X = 40 Divide each side by '8'. X = 5 Simplifying X = 5
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