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Simplifying 7(2X + -4) = 6(X + 3) Reorder the terms: 7(-4 + 2X) = 6(X + 3) (-4 * 7 + 2X * 7) = 6(X + 3) (-28 + 14X) = 6(X + 3) Reorder the terms: -28 + 14X = 6(3 + X) -28 + 14X = (3 * 6 + X * 6) -28 + 14X = (18 + 6X) Solving -28 + 14X = 18 + 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. -28 + 14X + -6X = 18 + 6X + -6X Combine like terms: 14X + -6X = 8X -28 + 8X = 18 + 6X + -6X Combine like terms: 6X + -6X = 0 -28 + 8X = 18 + 0 -28 + 8X = 18 Add '28' to each side of the equation. -28 + 28 + 8X = 18 + 28 Combine like terms: -28 + 28 = 0 0 + 8X = 18 + 28 8X = 18 + 28 Combine like terms: 18 + 28 = 46 8X = 46 Divide each side by '8'. X = 5.75 Simplifying X = 5.75
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