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Simplifying -1.5(x + -38) + 4.7x + -1.4x + 1.4(x + 16.5) = 0 Reorder the terms: -1.5(-38 + x) + 4.7x + -1.4x + 1.4(x + 16.5) = 0 (-38 * -1.5 + x * -1.5) + 4.7x + -1.4x + 1.4(x + 16.5) = 0 (57 + -1.5x) + 4.7x + -1.4x + 1.4(x + 16.5) = 0 Reorder the terms: 57 + -1.5x + 4.7x + -1.4x + 1.4(16.5 + x) = 0 57 + -1.5x + 4.7x + -1.4x + (16.5 * 1.4 + x * 1.4) = 0 57 + -1.5x + 4.7x + -1.4x + (23.1 + 1.4x) = 0 Reorder the terms: 57 + 23.1 + -1.5x + 4.7x + -1.4x + 1.4x = 0 Combine like terms: 57 + 23.1 = 80.1 80.1 + -1.5x + 4.7x + -1.4x + 1.4x = 0 Combine like terms: -1.5x + 4.7x = 3.2x 80.1 + 3.2x + -1.4x + 1.4x = 0 Combine like terms: 3.2x + -1.4x = 1.8x 80.1 + 1.8x + 1.4x = 0 Combine like terms: 1.8x + 1.4x = 3.2x 80.1 + 3.2x = 0 Solving 80.1 + 3.2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80.1' to each side of the equation. 80.1 + -80.1 + 3.2x = 0 + -80.1 Combine like terms: 80.1 + -80.1 = 0.0 0.0 + 3.2x = 0 + -80.1 3.2x = 0 + -80.1 Combine like terms: 0 + -80.1 = -80.1 3.2x = -80.1 Divide each side by '3.2'. x = -25.03125 Simplifying x = -25.03125
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