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Simplifying 10(2 * 3 + -1x) + -0.1(5x + -30) = 0 Multiply 2 * 3 10(6 + -1x) + -0.1(5x + -30) = 0 (6 * 10 + -1x * 10) + -0.1(5x + -30) = 0 (60 + -10x) + -0.1(5x + -30) = 0 Reorder the terms: 60 + -10x + -0.1(-30 + 5x) = 0 60 + -10x + (-30 * -0.1 + 5x * -0.1) = 0 60 + -10x + (3 + -0.5x) = 0 Reorder the terms: 60 + 3 + -10x + -0.5x = 0 Combine like terms: 60 + 3 = 63 63 + -10x + -0.5x = 0 Combine like terms: -10x + -0.5x = -10.5x 63 + -10.5x = 0 Solving 63 + -10.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -10.5x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -10.5x = 0 + -63 -10.5x = 0 + -63 Combine like terms: 0 + -63 = -63 -10.5x = -63 Divide each side by '-10.5'. x = 6 Simplifying x = 6
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