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Simplifying 26 + x = -5x + 4(x + 4) Reorder the terms: 26 + x = -5x + 4(4 + x) 26 + x = -5x + (4 * 4 + x * 4) 26 + x = -5x + (16 + 4x) Reorder the terms: 26 + x = 16 + -5x + 4x Combine like terms: -5x + 4x = -1x 26 + x = 16 + -1x Solving 26 + x = 16 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 26 + x + x = 16 + -1x + x Combine like terms: x + x = 2x 26 + 2x = 16 + -1x + x Combine like terms: -1x + x = 0 26 + 2x = 16 + 0 26 + 2x = 16 Add '-26' to each side of the equation. 26 + -26 + 2x = 16 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 16 + -26 2x = 16 + -26 Combine like terms: 16 + -26 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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