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Simplifying 5 + -0.3(x + -2) = 0.5x + 6 Reorder the terms: 5 + -0.3(-2 + x) = 0.5x + 6 5 + (-2 * -0.3 + x * -0.3) = 0.5x + 6 5 + (0.6 + -0.3x) = 0.5x + 6 Combine like terms: 5 + 0.6 = 5.6 5.6 + -0.3x = 0.5x + 6 Reorder the terms: 5.6 + -0.3x = 6 + 0.5x Solving 5.6 + -0.3x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 5.6 + -0.3x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: -0.3x + -0.5x = -0.8x 5.6 + -0.8x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 5.6 + -0.8x = 6 + 0.0 5.6 + -0.8x = 6 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -0.8x = 6 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -0.8x = 6 + -5.6 -0.8x = 6 + -5.6 Combine like terms: 6 + -5.6 = 0.4 -0.8x = 0.4 Divide each side by '-0.8'. x = -0.5 Simplifying x = -0.5
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