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Simplifying 26x + -16 = 5(5x + 4) + -4 Reorder the terms: -16 + 26x = 5(5x + 4) + -4 Reorder the terms: -16 + 26x = 5(4 + 5x) + -4 -16 + 26x = (4 * 5 + 5x * 5) + -4 -16 + 26x = (20 + 25x) + -4 Reorder the terms: -16 + 26x = 20 + -4 + 25x Combine like terms: 20 + -4 = 16 -16 + 26x = 16 + 25x Solving -16 + 26x = 16 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -16 + 26x + -25x = 16 + 25x + -25x Combine like terms: 26x + -25x = 1x -16 + 1x = 16 + 25x + -25x Combine like terms: 25x + -25x = 0 -16 + 1x = 16 + 0 -16 + 1x = 16 Add '16' to each side of the equation. -16 + 16 + 1x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + 1x = 16 + 16 1x = 16 + 16 Combine like terms: 16 + 16 = 32 1x = 32 Divide each side by '1'. x = 32 Simplifying x = 32
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