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Simplifying 0.3(x + 2) + -0.6(x + 2) = 0.3x + -6 Reorder the terms: 0.3(2 + x) + -0.6(x + 2) = 0.3x + -6 (2 * 0.3 + x * 0.3) + -0.6(x + 2) = 0.3x + -6 (0.6 + 0.3x) + -0.6(x + 2) = 0.3x + -6 Reorder the terms: 0.6 + 0.3x + -0.6(2 + x) = 0.3x + -6 0.6 + 0.3x + (2 * -0.6 + x * -0.6) = 0.3x + -6 0.6 + 0.3x + (-1.2 + -0.6x) = 0.3x + -6 Reorder the terms: 0.6 + -1.2 + 0.3x + -0.6x = 0.3x + -6 Combine like terms: 0.6 + -1.2 = -0.6 -0.6 + 0.3x + -0.6x = 0.3x + -6 Combine like terms: 0.3x + -0.6x = -0.3x -0.6 + -0.3x = 0.3x + -6 Reorder the terms: -0.6 + -0.3x = -6 + 0.3x Solving -0.6 + -0.3x = -6 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. -0.6 + -0.3x + -0.3x = -6 + 0.3x + -0.3x Combine like terms: -0.3x + -0.3x = -0.6x -0.6 + -0.6x = -6 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.6 + -0.6x = -6 + 0.0 -0.6 + -0.6x = -6 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.6x = -6 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.6x = -6 + 0.6 -0.6x = -6 + 0.6 Combine like terms: -6 + 0.6 = -5.4 -0.6x = -5.4 Divide each side by '-0.6'. x = 9 Simplifying x = 9
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