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Simplifying 0.3(x + 3) + 1.3(x + -2) = 0 Reorder the terms: 0.3(3 + x) + 1.3(x + -2) = 0 (3 * 0.3 + x * 0.3) + 1.3(x + -2) = 0 (0.9 + 0.3x) + 1.3(x + -2) = 0 Reorder the terms: 0.9 + 0.3x + 1.3(-2 + x) = 0 0.9 + 0.3x + (-2 * 1.3 + x * 1.3) = 0 0.9 + 0.3x + (-2.6 + 1.3x) = 0 Reorder the terms: 0.9 + -2.6 + 0.3x + 1.3x = 0 Combine like terms: 0.9 + -2.6 = -1.7 -1.7 + 0.3x + 1.3x = 0 Combine like terms: 0.3x + 1.3x = 1.6x -1.7 + 1.6x = 0 Solving -1.7 + 1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + 1.6x = 0 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 1.6x = 0 + 1.7 1.6x = 0 + 1.7 Combine like terms: 0 + 1.7 = 1.7 1.6x = 1.7 Divide each side by '1.6'. x = 1.0625 Simplifying x = 1.0625
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