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Simplifying 8x + 5(200 + -1x) = 1414 8x + (200 * 5 + -1x * 5) = 1414 8x + (1000 + -5x) = 1414 Reorder the terms: 1000 + 8x + -5x = 1414 Combine like terms: 8x + -5x = 3x 1000 + 3x = 1414 Solving 1000 + 3x = 1414 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + 3x = 1414 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 3x = 1414 + -1000 3x = 1414 + -1000 Combine like terms: 1414 + -1000 = 414 3x = 414 Divide each side by '3'. x = 138 Simplifying x = 138
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