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Simplifying 3(X + 8) + 4 = 7x + -4(X + -3) Reorder the terms: 3(8 + X) + 4 = 7x + -4(X + -3) (8 * 3 + X * 3) + 4 = 7x + -4(X + -3) (24 + 3X) + 4 = 7x + -4(X + -3) Reorder the terms: 24 + 4 + 3X = 7x + -4(X + -3) Combine like terms: 24 + 4 = 28 28 + 3X = 7x + -4(X + -3) Reorder the terms: 28 + 3X = 7x + -4(-3 + X) 28 + 3X = 7x + (-3 * -4 + X * -4) 28 + 3X = 7x + (12 + -4X) Reorder the terms: 28 + 3X = 12 + -4X + 7x Solving 28 + 3X = 12 + -4X + 7x 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. 28 + 3X + 4X = 12 + -4X + 4X + 7x Combine like terms: 3X + 4X = 7X 28 + 7X = 12 + -4X + 4X + 7x Combine like terms: -4X + 4X = 0 28 + 7X = 12 + 0 + 7x 28 + 7X = 12 + 7x Add '-28' to each side of the equation. 28 + -28 + 7X = 12 + -28 + 7x Combine like terms: 28 + -28 = 0 0 + 7X = 12 + -28 + 7x 7X = 12 + -28 + 7x Combine like terms: 12 + -28 = -16 7X = -16 + 7x Divide each side by '7'. X = -2.285714286 + x Simplifying X = -2.285714286 + x
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