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Simplifying 4 + 2(2x + 6) = 4(3 + -1x) Reorder the terms: 4 + 2(6 + 2x) = 4(3 + -1x) 4 + (6 * 2 + 2x * 2) = 4(3 + -1x) 4 + (12 + 4x) = 4(3 + -1x) Combine like terms: 4 + 12 = 16 16 + 4x = 4(3 + -1x) 16 + 4x = (3 * 4 + -1x * 4) 16 + 4x = (12 + -4x) Solving 16 + 4x = 12 + -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 + 4x + 4x = 12 + -4x + 4x Combine like terms: 4x + 4x = 8x 16 + 8x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 16 + 8x = 12 + 0 16 + 8x = 12 Add '-16' to each side of the equation. 16 + -16 + 8x = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 8x = 12 + -16 8x = 12 + -16 Combine like terms: 12 + -16 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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