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Simplifying 0.5(x + 2) + -0.8(x + 2) = -3 + -0.6 Reorder the terms: 0.5(2 + x) + -0.8(x + 2) = -3 + -0.6 (2 * 0.5 + x * 0.5) + -0.8(x + 2) = -3 + -0.6 (1 + 0.5x) + -0.8(x + 2) = -3 + -0.6 Reorder the terms: 1 + 0.5x + -0.8(2 + x) = -3 + -0.6 1 + 0.5x + (2 * -0.8 + x * -0.8) = -3 + -0.6 1 + 0.5x + (-1.6 + -0.8x) = -3 + -0.6 Reorder the terms: 1 + -1.6 + 0.5x + -0.8x = -3 + -0.6 Combine like terms: 1 + -1.6 = -0.6 -0.6 + 0.5x + -0.8x = -3 + -0.6 Combine like terms: 0.5x + -0.8x = -0.3x -0.6 + -0.3x = -3 + -0.6 Combine like terms: -3 + -0.6 = -3.6 -0.6 + -0.3x = -3.6 Solving -0.6 + -0.3x = -3.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.3x = -3.6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.3x = -3.6 + 0.6 -0.3x = -3.6 + 0.6 Combine like terms: -3.6 + 0.6 = -3 -0.3x = -3 Divide each side by '-0.3'. x = 10 Simplifying x = 10
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