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Simplifying 0.2(0.23 + -5x) = -0.9x (0.23 * 0.2 + -5x * 0.2) = -0.9x (0.046 + -1x) = -0.9x Solving 0.046 + -1x = -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. 0.046 + -1x + 0.9x = -0.9x + 0.9x Combine like terms: -1x + 0.9x = -0.1x 0.046 + -0.1x = -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 0.046 + -0.1x = 0.0 Add '-0.046' to each side of the equation. 0.046 + -0.046 + -0.1x = 0.0 + -0.046 Combine like terms: 0.046 + -0.046 = 0.000 0.000 + -0.1x = 0.0 + -0.046 -0.1x = 0.0 + -0.046 Combine like terms: 0.0 + -0.046 = -0.046 -0.1x = -0.046 Divide each side by '-0.1'. x = 0.46 Simplifying x = 0.46
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