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Simplifying 4(X + 2) + -7 = 2x + 2(-2 + X) Reorder the terms: 4(2 + X) + -7 = 2x + 2(-2 + X) (2 * 4 + X * 4) + -7 = 2x + 2(-2 + X) (8 + 4X) + -7 = 2x + 2(-2 + X) Reorder the terms: 8 + -7 + 4X = 2x + 2(-2 + X) Combine like terms: 8 + -7 = 1 1 + 4X = 2x + 2(-2 + X) 1 + 4X = 2x + (-2 * 2 + X * 2) 1 + 4X = 2x + (-4 + 2X) Reorder the terms: 1 + 4X = -4 + 2X + 2x Solving 1 + 4X = -4 + 2X + 2x 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 + 2x Combine like terms: 4X + -2X = 2X 1 + 2X = -4 + 2X + -2X + 2x Combine like terms: 2X + -2X = 0 1 + 2X = -4 + 0 + 2x 1 + 2X = -4 + 2x Add '-1' to each side of the equation. 1 + -1 + 2X = -4 + -1 + 2x Combine like terms: 1 + -1 = 0 0 + 2X = -4 + -1 + 2x 2X = -4 + -1 + 2x Combine like terms: -4 + -1 = -5 2X = -5 + 2x Divide each side by '2'. X = -2.5 + x Simplifying X = -2.5 + x
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