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Simplifying 0.004(7 + -1x) + 0.09(x + -7) = 1 (7 * 0.004 + -1x * 0.004) + 0.09(x + -7) = 1 (0.028 + -0.004x) + 0.09(x + -7) = 1 Reorder the terms: 0.028 + -0.004x + 0.09(-7 + x) = 1 0.028 + -0.004x + (-7 * 0.09 + x * 0.09) = 1 0.028 + -0.004x + (-0.63 + 0.09x) = 1 Reorder the terms: 0.028 + -0.63 + -0.004x + 0.09x = 1 Combine like terms: 0.028 + -0.63 = -0.602 -0.602 + -0.004x + 0.09x = 1 Combine like terms: -0.004x + 0.09x = 0.086x -0.602 + 0.086x = 1 Solving -0.602 + 0.086x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.602' to each side of the equation. -0.602 + 0.602 + 0.086x = 1 + 0.602 Combine like terms: -0.602 + 0.602 = 0.000 0.000 + 0.086x = 1 + 0.602 0.086x = 1 + 0.602 Combine like terms: 1 + 0.602 = 1.602 0.086x = 1.602 Divide each side by '0.086'. x = 18.62790698 Simplifying x = 18.62790698
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