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Simplifying -1.9(1 + -2.8x) = -2x + -0.3(x + -3.7) (1 * -1.9 + -2.8x * -1.9) = -2x + -0.3(x + -3.7) (-1.9 + 5.32x) = -2x + -0.3(x + -3.7) Reorder the terms: -1.9 + 5.32x = -2x + -0.3(-3.7 + x) -1.9 + 5.32x = -2x + (-3.7 * -0.3 + x * -0.3) -1.9 + 5.32x = -2x + (1.11 + -0.3x) Reorder the terms: -1.9 + 5.32x = 1.11 + -2x + -0.3x Combine like terms: -2x + -0.3x = -2.3x -1.9 + 5.32x = 1.11 + -2.3x Solving -1.9 + 5.32x = 1.11 + -2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3x' to each side of the equation. -1.9 + 5.32x + 2.3x = 1.11 + -2.3x + 2.3x Combine like terms: 5.32x + 2.3x = 7.62x -1.9 + 7.62x = 1.11 + -2.3x + 2.3x Combine like terms: -2.3x + 2.3x = 0.0 -1.9 + 7.62x = 1.11 + 0.0 -1.9 + 7.62x = 1.11 Add '1.9' to each side of the equation. -1.9 + 1.9 + 7.62x = 1.11 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + 7.62x = 1.11 + 1.9 7.62x = 1.11 + 1.9 Combine like terms: 1.11 + 1.9 = 3.01 7.62x = 3.01 Divide each side by '7.62'. x = 0.3950131234 Simplifying x = 0.3950131234
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