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Simplifying 7(2x + -4) + 6(X + 3) = 30 Reorder the terms: 7(-4 + 2x) + 6(X + 3) = 30 (-4 * 7 + 2x * 7) + 6(X + 3) = 30 (-28 + 14x) + 6(X + 3) = 30 Reorder the terms: -28 + 14x + 6(3 + X) = 30 -28 + 14x + (3 * 6 + X * 6) = 30 -28 + 14x + (18 + 6X) = 30 Reorder the terms: -28 + 18 + 6X + 14x = 30 Combine like terms: -28 + 18 = -10 -10 + 6X + 14x = 30 Solving -10 + 6X + 14x = 30 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 6X + 10 + 14x = 30 + 10 Reorder the terms: -10 + 10 + 6X + 14x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 6X + 14x = 30 + 10 6X + 14x = 30 + 10 Combine like terms: 30 + 10 = 40 6X + 14x = 40 Add '-14x' to each side of the equation. 6X + 14x + -14x = 40 + -14x Combine like terms: 14x + -14x = 0 6X + 0 = 40 + -14x 6X = 40 + -14x Divide each side by '6'. X = 6.666666667 + -2.333333333x Simplifying X = 6.666666667 + -2.333333333x
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