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Simplifying 10x + 20(106 + -1x) = 1640 10x + (106 * 20 + -1x * 20) = 1640 10x + (2120 + -20x) = 1640 Reorder the terms: 2120 + 10x + -20x = 1640 Combine like terms: 10x + -20x = -10x 2120 + -10x = 1640 Solving 2120 + -10x = 1640 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2120' to each side of the equation. 2120 + -2120 + -10x = 1640 + -2120 Combine like terms: 2120 + -2120 = 0 0 + -10x = 1640 + -2120 -10x = 1640 + -2120 Combine like terms: 1640 + -2120 = -480 -10x = -480 Divide each side by '-10'. x = 48 Simplifying x = 48
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