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Simplifying 4(X + 2) + -7 = 6x + -2(-2 + X) Reorder the terms: 4(2 + X) + -7 = 6x + -2(-2 + X) (2 * 4 + X * 4) + -7 = 6x + -2(-2 + X) (8 + 4X) + -7 = 6x + -2(-2 + X) Reorder the terms: 8 + -7 + 4X = 6x + -2(-2 + X) Combine like terms: 8 + -7 = 1 1 + 4X = 6x + -2(-2 + X) 1 + 4X = 6x + (-2 * -2 + X * -2) 1 + 4X = 6x + (4 + -2X) Reorder the terms: 1 + 4X = 4 + -2X + 6x Solving 1 + 4X = 4 + -2X + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. 1 + 4X + 2X = 4 + -2X + 2X + 6x Combine like terms: 4X + 2X = 6X 1 + 6X = 4 + -2X + 2X + 6x Combine like terms: -2X + 2X = 0 1 + 6X = 4 + 0 + 6x 1 + 6X = 4 + 6x Add '-1' to each side of the equation. 1 + -1 + 6X = 4 + -1 + 6x Combine like terms: 1 + -1 = 0 0 + 6X = 4 + -1 + 6x 6X = 4 + -1 + 6x Combine like terms: 4 + -1 = 3 6X = 3 + 6x Divide each side by '6'. X = 0.5 + x Simplifying X = 0.5 + x
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