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Simplifying 46x + 22(415 + -1x) = 13066 46x + (415 * 22 + -1x * 22) = 13066 46x + (9130 + -22x) = 13066 Reorder the terms: 9130 + 46x + -22x = 13066 Combine like terms: 46x + -22x = 24x 9130 + 24x = 13066 Solving 9130 + 24x = 13066 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9130' to each side of the equation. 9130 + -9130 + 24x = 13066 + -9130 Combine like terms: 9130 + -9130 = 0 0 + 24x = 13066 + -9130 24x = 13066 + -9130 Combine like terms: 13066 + -9130 = 3936 24x = 3936 Divide each side by '24'. x = 164 Simplifying x = 164
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