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Simplifying 0.008(6 + -1x) + 0.07(x + -2) = 1 (6 * 0.008 + -1x * 0.008) + 0.07(x + -2) = 1 (0.048 + -0.008x) + 0.07(x + -2) = 1 Reorder the terms: 0.048 + -0.008x + 0.07(-2 + x) = 1 0.048 + -0.008x + (-2 * 0.07 + x * 0.07) = 1 0.048 + -0.008x + (-0.14 + 0.07x) = 1 Reorder the terms: 0.048 + -0.14 + -0.008x + 0.07x = 1 Combine like terms: 0.048 + -0.14 = -0.092 -0.092 + -0.008x + 0.07x = 1 Combine like terms: -0.008x + 0.07x = 0.062x -0.092 + 0.062x = 1 Solving -0.092 + 0.062x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.092' to each side of the equation. -0.092 + 0.092 + 0.062x = 1 + 0.092 Combine like terms: -0.092 + 0.092 = 0.000 0.000 + 0.062x = 1 + 0.092 0.062x = 1 + 0.092 Combine like terms: 1 + 0.092 = 1.092 0.062x = 1.092 Divide each side by '0.062'. x = 17.61290323 Simplifying x = 17.61290323
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