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Simplifying 0.2(x + 3) + -0.5(x + 3) = -0.3 + -0.9 Reorder the terms: 0.2(3 + x) + -0.5(x + 3) = -0.3 + -0.9 (3 * 0.2 + x * 0.2) + -0.5(x + 3) = -0.3 + -0.9 (0.6 + 0.2x) + -0.5(x + 3) = -0.3 + -0.9 Reorder the terms: 0.6 + 0.2x + -0.5(3 + x) = -0.3 + -0.9 0.6 + 0.2x + (3 * -0.5 + x * -0.5) = -0.3 + -0.9 0.6 + 0.2x + (-1.5 + -0.5x) = -0.3 + -0.9 Reorder the terms: 0.6 + -1.5 + 0.2x + -0.5x = -0.3 + -0.9 Combine like terms: 0.6 + -1.5 = -0.9 -0.9 + 0.2x + -0.5x = -0.3 + -0.9 Combine like terms: 0.2x + -0.5x = -0.3x -0.9 + -0.3x = -0.3 + -0.9 Combine like terms: -0.3 + -0.9 = -1.2 -0.9 + -0.3x = -1.2 Solving -0.9 + -0.3x = -1.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + -0.3x = -1.2 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -0.3x = -1.2 + 0.9 -0.3x = -1.2 + 0.9 Combine like terms: -1.2 + 0.9 = -0.3 -0.3x = -0.3 Divide each side by '-0.3'. x = 1 Simplifying x = 1
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