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Simplifying 0.4(x + 5) + -0.3x = 1 Reorder the terms: 0.4(5 + x) + -0.3x = 1 (5 * 0.4 + x * 0.4) + -0.3x = 1 (2 + 0.4x) + -0.3x = 1 Combine like terms: 0.4x + -0.3x = 0.1x 2 + 0.1x = 1 Solving 2 + 0.1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.1x = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 0.1x = 1 + -2 0.1x = 1 + -2 Combine like terms: 1 + -2 = -1 0.1x = -1 Divide each side by '0.1'. x = -10 Simplifying x = -10
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