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Simplifying 1.3(x + 3) + -1(5.8 + 0.3x) = -3 + 2 Reorder the terms: 1.3(3 + x) + -1(5.8 + 0.3x) = -3 + 2 (3 * 1.3 + x * 1.3) + -1(5.8 + 0.3x) = -3 + 2 (3.9 + 1.3x) + -1(5.8 + 0.3x) = -3 + 2 3.9 + 1.3x + (5.8 * -1 + 0.3x * -1) = -3 + 2 3.9 + 1.3x + (-5.8 + -0.3x) = -3 + 2 Reorder the terms: 3.9 + -5.8 + 1.3x + -0.3x = -3 + 2 Combine like terms: 3.9 + -5.8 = -1.9 -1.9 + 1.3x + -0.3x = -3 + 2 Combine like terms: 1.3x + -0.3x = 1x -1.9 + 1x = -3 + 2 Combine like terms: -3 + 2 = -1 -1.9 + 1x = -1 Solving -1.9 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.9' to each side of the equation. -1.9 + 1.9 + 1x = -1 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 1x = -1 + 1.9 1x = -1 + 1.9 Combine like terms: -1 + 1.9 = 0.9 1x = 0.9 Divide each side by '1'. x = 0.9 Simplifying x = 0.9
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