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Simplifying 2.9x + 4.9(830 + -1x) = 3067 2.9x + (830 * 4.9 + -1x * 4.9) = 3067 2.9x + (4067 + -4.9x) = 3067 Reorder the terms: 4067 + 2.9x + -4.9x = 3067 Combine like terms: 2.9x + -4.9x = -2x 4067 + -2x = 3067 Solving 4067 + -2x = 3067 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4067' to each side of the equation. 4067 + -4067 + -2x = 3067 + -4067 Combine like terms: 4067 + -4067 = 0 0 + -2x = 3067 + -4067 -2x = 3067 + -4067 Combine like terms: 3067 + -4067 = -1000 -2x = -1000 Divide each side by '-2'. x = 500 Simplifying x = 500
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