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Simplifying 0.9(x + 4) + 1.9(x + -3) = 0 Reorder the terms: 0.9(4 + x) + 1.9(x + -3) = 0 (4 * 0.9 + x * 0.9) + 1.9(x + -3) = 0 (3.6 + 0.9x) + 1.9(x + -3) = 0 Reorder the terms: 3.6 + 0.9x + 1.9(-3 + x) = 0 3.6 + 0.9x + (-3 * 1.9 + x * 1.9) = 0 3.6 + 0.9x + (-5.7 + 1.9x) = 0 Reorder the terms: 3.6 + -5.7 + 0.9x + 1.9x = 0 Combine like terms: 3.6 + -5.7 = -2.1 -2.1 + 0.9x + 1.9x = 0 Combine like terms: 0.9x + 1.9x = 2.8x -2.1 + 2.8x = 0 Solving -2.1 + 2.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.1' to each side of the equation. -2.1 + 2.1 + 2.8x = 0 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 2.8x = 0 + 2.1 2.8x = 0 + 2.1 Combine like terms: 0 + 2.1 = 2.1 2.8x = 2.1 Divide each side by '2.8'. x = 0.75 Simplifying x = 0.75
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