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