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Simplifying 5(X + 2) + 2(3x + -1) = 7(x + -4) Reorder the terms: 5(2 + X) + 2(3x + -1) = 7(x + -4) (2 * 5 + X * 5) + 2(3x + -1) = 7(x + -4) (10 + 5X) + 2(3x + -1) = 7(x + -4) Reorder the terms: 10 + 5X + 2(-1 + 3x) = 7(x + -4) 10 + 5X + (-1 * 2 + 3x * 2) = 7(x + -4) 10 + 5X + (-2 + 6x) = 7(x + -4) Reorder the terms: 10 + -2 + 5X + 6x = 7(x + -4) Combine like terms: 10 + -2 = 8 8 + 5X + 6x = 7(x + -4) Reorder the terms: 8 + 5X + 6x = 7(-4 + x) 8 + 5X + 6x = (-4 * 7 + x * 7) 8 + 5X + 6x = (-28 + 7x) Solving 8 + 5X + 6x = -28 + 7x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 5X + -8 + 6x = -28 + -8 + 7x Reorder the terms: 8 + -8 + 5X + 6x = -28 + -8 + 7x Combine like terms: 8 + -8 = 0 0 + 5X + 6x = -28 + -8 + 7x 5X + 6x = -28 + -8 + 7x Combine like terms: -28 + -8 = -36 5X + 6x = -36 + 7x Add '-6x' to each side of the equation. 5X + 6x + -6x = -36 + 7x + -6x Combine like terms: 6x + -6x = 0 5X + 0 = -36 + 7x + -6x 5X = -36 + 7x + -6x Combine like terms: 7x + -6x = 1x 5X = -36 + 1x Divide each side by '5'. X = -7.2 + 0.2x Simplifying X = -7.2 + 0.2x
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