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Simplifying (x + 8) * 2 = 4(x + 1) Reorder the terms: (8 + x) * 2 = 4(x + 1) Reorder the terms for easier multiplication: 2(8 + x) = 4(x + 1) (8 * 2 + x * 2) = 4(x + 1) (16 + 2x) = 4(x + 1) Reorder the terms: 16 + 2x = 4(1 + x) 16 + 2x = (1 * 4 + x * 4) 16 + 2x = (4 + 4x) Solving 16 + 2x = 4 + 4x 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. 16 + 2x + -4x = 4 + 4x + -4x Combine like terms: 2x + -4x = -2x 16 + -2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -2x = 4 + 0 16 + -2x = 4 Add '-16' to each side of the equation. 16 + -16 + -2x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 4 + -16 -2x = 4 + -16 Combine like terms: 4 + -16 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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