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Simplifying 0.5(14 + -1x) + -0.3(x + 4) = 17.8 (14 * 0.5 + -1x * 0.5) + -0.3(x + 4) = 17.8 (7 + -0.5x) + -0.3(x + 4) = 17.8 Reorder the terms: 7 + -0.5x + -0.3(4 + x) = 17.8 7 + -0.5x + (4 * -0.3 + x * -0.3) = 17.8 7 + -0.5x + (-1.2 + -0.3x) = 17.8 Reorder the terms: 7 + -1.2 + -0.5x + -0.3x = 17.8 Combine like terms: 7 + -1.2 = 5.8 5.8 + -0.5x + -0.3x = 17.8 Combine like terms: -0.5x + -0.3x = -0.8x 5.8 + -0.8x = 17.8 Solving 5.8 + -0.8x = 17.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.8' to each side of the equation. 5.8 + -5.8 + -0.8x = 17.8 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + -0.8x = 17.8 + -5.8 -0.8x = 17.8 + -5.8 Combine like terms: 17.8 + -5.8 = 12 -0.8x = 12 Divide each side by '-0.8'. x = -15 Simplifying x = -15
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