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Simplifying 0.3(x + 3) + -0.6(x + 3) = 0.3x + -0.9 Reorder the terms: 0.3(3 + x) + -0.6(x + 3) = 0.3x + -0.9 (3 * 0.3 + x * 0.3) + -0.6(x + 3) = 0.3x + -0.9 (0.9 + 0.3x) + -0.6(x + 3) = 0.3x + -0.9 Reorder the terms: 0.9 + 0.3x + -0.6(3 + x) = 0.3x + -0.9 0.9 + 0.3x + (3 * -0.6 + x * -0.6) = 0.3x + -0.9 0.9 + 0.3x + (-1.8 + -0.6x) = 0.3x + -0.9 Reorder the terms: 0.9 + -1.8 + 0.3x + -0.6x = 0.3x + -0.9 Combine like terms: 0.9 + -1.8 = -0.9 -0.9 + 0.3x + -0.6x = 0.3x + -0.9 Combine like terms: 0.3x + -0.6x = -0.3x -0.9 + -0.3x = 0.3x + -0.9 Reorder the terms: -0.9 + -0.3x = -0.9 + 0.3x Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.3x = -0.9 + 0.9 + 0.3x Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.3x = -0.9 + 0.9 + 0.3x -0.3x = -0.9 + 0.9 + 0.3x Combine like terms: -0.9 + 0.9 = 0.0 -0.3x = 0.0 + 0.3x -0.3x = 0.3x Solving -0.3x = 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. -0.3x + -0.3x = 0.3x + -0.3x Combine like terms: -0.3x + -0.3x = -0.6x -0.6x = 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 -0.6x = 0.0 Divide each side by '-0.6'. x = 0 Simplifying x = 0
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