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Simplifying 4(X + -2) + 7x = 3(6x + 2) Reorder the terms: 4(-2 + X) + 7x = 3(6x + 2) (-2 * 4 + X * 4) + 7x = 3(6x + 2) (-8 + 4X) + 7x = 3(6x + 2) Reorder the terms: -8 + 4X + 7x = 3(2 + 6x) -8 + 4X + 7x = (2 * 3 + 6x * 3) -8 + 4X + 7x = (6 + 18x) Solving -8 + 4X + 7x = 6 + 18x 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 + 4X + 8 + 7x = 6 + 8 + 18x Reorder the terms: -8 + 8 + 4X + 7x = 6 + 8 + 18x Combine like terms: -8 + 8 = 0 0 + 4X + 7x = 6 + 8 + 18x 4X + 7x = 6 + 8 + 18x Combine like terms: 6 + 8 = 14 4X + 7x = 14 + 18x Add '-7x' to each side of the equation. 4X + 7x + -7x = 14 + 18x + -7x Combine like terms: 7x + -7x = 0 4X + 0 = 14 + 18x + -7x 4X = 14 + 18x + -7x Combine like terms: 18x + -7x = 11x 4X = 14 + 11x Divide each side by '4'. X = 3.5 + 2.75x Simplifying X = 3.5 + 2.75x
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