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Simplifying 0.3(x + 4) + 1.3(x + -3) = 0 Reorder the terms: 0.3(4 + x) + 1.3(x + -3) = 0 (4 * 0.3 + x * 0.3) + 1.3(x + -3) = 0 (1.2 + 0.3x) + 1.3(x + -3) = 0 Reorder the terms: 1.2 + 0.3x + 1.3(-3 + x) = 0 1.2 + 0.3x + (-3 * 1.3 + x * 1.3) = 0 1.2 + 0.3x + (-3.9 + 1.3x) = 0 Reorder the terms: 1.2 + -3.9 + 0.3x + 1.3x = 0 Combine like terms: 1.2 + -3.9 = -2.7 -2.7 + 0.3x + 1.3x = 0 Combine like terms: 0.3x + 1.3x = 1.6x -2.7 + 1.6x = 0 Solving -2.7 + 1.6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.7' to each side of the equation. -2.7 + 2.7 + 1.6x = 0 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 1.6x = 0 + 2.7 1.6x = 0 + 2.7 Combine like terms: 0 + 2.7 = 2.7 1.6x = 2.7 Divide each side by '1.6'. x = 1.6875 Simplifying x = 1.6875
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