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Simplifying 0.4(x + 5) + -0.3x = 17 Reorder the terms: 0.4(5 + x) + -0.3x = 17 (5 * 0.4 + x * 0.4) + -0.3x = 17 (2 + 0.4x) + -0.3x = 17 Combine like terms: 0.4x + -0.3x = 0.1x 2 + 0.1x = 17 Solving 2 + 0.1x = 17 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 = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 0.1x = 17 + -2 0.1x = 17 + -2 Combine like terms: 17 + -2 = 15 0.1x = 15 Divide each side by '0.1'. x = 150 Simplifying x = 150
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