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Simplifying 2(2X + 4) + -8X = -2(X + 1) + 3 Reorder the terms: 2(4 + 2X) + -8X = -2(X + 1) + 3 (4 * 2 + 2X * 2) + -8X = -2(X + 1) + 3 (8 + 4X) + -8X = -2(X + 1) + 3 Combine like terms: 4X + -8X = -4X 8 + -4X = -2(X + 1) + 3 Reorder the terms: 8 + -4X = -2(1 + X) + 3 8 + -4X = (1 * -2 + X * -2) + 3 8 + -4X = (-2 + -2X) + 3 Reorder the terms: 8 + -4X = -2 + 3 + -2X Combine like terms: -2 + 3 = 1 8 + -4X = 1 + -2X Solving 8 + -4X = 1 + -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. 8 + -4X + 2X = 1 + -2X + 2X Combine like terms: -4X + 2X = -2X 8 + -2X = 1 + -2X + 2X Combine like terms: -2X + 2X = 0 8 + -2X = 1 + 0 8 + -2X = 1 Add '-8' to each side of the equation. 8 + -8 + -2X = 1 + -8 Combine like terms: 8 + -8 = 0 0 + -2X = 1 + -8 -2X = 1 + -8 Combine like terms: 1 + -8 = -7 -2X = -7 Divide each side by '-2'. X = 3.5 Simplifying X = 3.5
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