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Simplifying -6 + 4(4 + x) = 2x + -20 -6 + (4 * 4 + x * 4) = 2x + -20 -6 + (16 + 4x) = 2x + -20 Combine like terms: -6 + 16 = 10 10 + 4x = 2x + -20 Reorder the terms: 10 + 4x = -20 + 2x Solving 10 + 4x = -20 + 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. 10 + 4x + -2x = -20 + 2x + -2x Combine like terms: 4x + -2x = 2x 10 + 2x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 2x = -20 + 0 10 + 2x = -20 Add '-10' to each side of the equation. 10 + -10 + 2x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = -20 + -10 2x = -20 + -10 Combine like terms: -20 + -10 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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