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Simplifying 0.005(9 + -1x) + 0.07(x + -4) = 1 (9 * 0.005 + -1x * 0.005) + 0.07(x + -4) = 1 (0.045 + -0.005x) + 0.07(x + -4) = 1 Reorder the terms: 0.045 + -0.005x + 0.07(-4 + x) = 1 0.045 + -0.005x + (-4 * 0.07 + x * 0.07) = 1 0.045 + -0.005x + (-0.28 + 0.07x) = 1 Reorder the terms: 0.045 + -0.28 + -0.005x + 0.07x = 1 Combine like terms: 0.045 + -0.28 = -0.235 -0.235 + -0.005x + 0.07x = 1 Combine like terms: -0.005x + 0.07x = 0.065x -0.235 + 0.065x = 1 Solving -0.235 + 0.065x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.235' to each side of the equation. -0.235 + 0.235 + 0.065x = 1 + 0.235 Combine like terms: -0.235 + 0.235 = 0.000 0.000 + 0.065x = 1 + 0.235 0.065x = 1 + 0.235 Combine like terms: 1 + 0.235 = 1.235 0.065x = 1.235 Divide each side by '0.065'. x = 19 Simplifying x = 19
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