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Simplifying 100(0.3(x + 0.1) + -0.5(2x + -3)) = 47 Reorder the terms: 100(0.3(0.1 + x) + -0.5(2x + -3)) = 47 100((0.1 * 0.3 + x * 0.3) + -0.5(2x + -3)) = 47 100((0.03 + 0.3x) + -0.5(2x + -3)) = 47 Reorder the terms: 100(0.03 + 0.3x + -0.5(-3 + 2x)) = 47 100(0.03 + 0.3x + (-3 * -0.5 + 2x * -0.5)) = 47 100(0.03 + 0.3x + (1.5 + -1x)) = 47 Reorder the terms: 100(0.03 + 1.5 + 0.3x + -1x) = 47 Combine like terms: 0.03 + 1.5 = 1.53 100(1.53 + 0.3x + -1x) = 47 Combine like terms: 0.3x + -1x = -0.7x 100(1.53 + -0.7x) = 47 (1.53 * 100 + -0.7x * 100) = 47 (153 + -70x) = 47 Solving 153 + -70x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-153' to each side of the equation. 153 + -153 + -70x = 47 + -153 Combine like terms: 153 + -153 = 0 0 + -70x = 47 + -153 -70x = 47 + -153 Combine like terms: 47 + -153 = -106 -70x = -106 Divide each side by '-70'. x = 1.514285714 Simplifying x = 1.514285714
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