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Simplifying 8[x + 3x + (5 + x)] = 1000 Remove parenthesis around (5 + x) 8[x + 3x + 5 + x] = 1000 Reorder the terms: 8[5 + x + 3x + x] = 1000 Combine like terms: x + 3x = 4x 8[5 + 4x + x] = 1000 Combine like terms: 4x + x = 5x 8[5 + 5x] = 1000 [5 * 8 + 5x * 8] = 1000 [40 + 40x] = 1000 Solving 40 + 40x = 1000 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 40x = 1000 + -40 Combine like terms: 40 + -40 = 0 0 + 40x = 1000 + -40 40x = 1000 + -40 Combine like terms: 1000 + -40 = 960 40x = 960 Divide each side by '40'. x = 24 Simplifying x = 24
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