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Simplifying 0.3(0.3x + -0.1) = 0.1x + -0.3 Reorder the terms: 0.3(-0.1 + 0.3x) = 0.1x + -0.3 (-0.1 * 0.3 + 0.3x * 0.3) = 0.1x + -0.3 (-0.03 + 0.09x) = 0.1x + -0.3 Reorder the terms: -0.03 + 0.09x = -0.3 + 0.1x Solving -0.03 + 0.09x = -0.3 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -0.03 + 0.09x + -0.1x = -0.3 + 0.1x + -0.1x Combine like terms: 0.09x + -0.1x = -0.01x -0.03 + -0.01x = -0.3 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -0.03 + -0.01x = -0.3 + 0.0 -0.03 + -0.01x = -0.3 Add '0.03' to each side of the equation. -0.03 + 0.03 + -0.01x = -0.3 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + -0.01x = -0.3 + 0.03 -0.01x = -0.3 + 0.03 Combine like terms: -0.3 + 0.03 = -0.27 -0.01x = -0.27 Divide each side by '-0.01'. x = 27 Simplifying x = 27
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