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Simplifying 0.9x + 0.4 = 0.2(5 + -0.5x) + -3.6 Reorder the terms: 0.4 + 0.9x = 0.2(5 + -0.5x) + -3.6 0.4 + 0.9x = (5 * 0.2 + -0.5x * 0.2) + -3.6 0.4 + 0.9x = (1 + -0.1x) + -3.6 Reorder the terms: 0.4 + 0.9x = 1 + -3.6 + -0.1x Combine like terms: 1 + -3.6 = -2.6 0.4 + 0.9x = -2.6 + -0.1x Solving 0.4 + 0.9x = -2.6 + -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. 0.4 + 0.9x + 0.1x = -2.6 + -0.1x + 0.1x Combine like terms: 0.9x + 0.1x = 1x 0.4 + 1x = -2.6 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 0.4 + 1x = -2.6 + 0.0 0.4 + 1x = -2.6 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 1x = -2.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 1x = -2.6 + -0.4 1x = -2.6 + -0.4 Combine like terms: -2.6 + -0.4 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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