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Simplifying 45x + 23(435 + -1x) = 14053 45x + (435 * 23 + -1x * 23) = 14053 45x + (10005 + -23x) = 14053 Reorder the terms: 10005 + 45x + -23x = 14053 Combine like terms: 45x + -23x = 22x 10005 + 22x = 14053 Solving 10005 + 22x = 14053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10005' to each side of the equation. 10005 + -10005 + 22x = 14053 + -10005 Combine like terms: 10005 + -10005 = 0 0 + 22x = 14053 + -10005 22x = 14053 + -10005 Combine like terms: 14053 + -10005 = 4048 22x = 4048 Divide each side by '22'. x = 184 Simplifying x = 184
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