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Simplifying x + 5(x + 4) = 16 + 2x Reorder the terms: x + 5(4 + x) = 16 + 2x x + (4 * 5 + x * 5) = 16 + 2x x + (20 + 5x) = 16 + 2x Reorder the terms: 20 + x + 5x = 16 + 2x Combine like terms: x + 5x = 6x 20 + 6x = 16 + 2x Solving 20 + 6x = 16 + 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. 20 + 6x + -2x = 16 + 2x + -2x Combine like terms: 6x + -2x = 4x 20 + 4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 4x = 16 + 0 20 + 4x = 16 Add '-20' to each side of the equation. 20 + -20 + 4x = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 16 + -20 4x = 16 + -20 Combine like terms: 16 + -20 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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