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Simplifying (x + -3) * 0.3 + (2x + -5) * 0.4 + 4x = 0 Reorder the terms: (-3 + x) * 0.3 + (2x + -5) * 0.4 + 4x = 0 Reorder the terms for easier multiplication: 0.3(-3 + x) + (2x + -5) * 0.4 + 4x = 0 (-3 * 0.3 + x * 0.3) + (2x + -5) * 0.4 + 4x = 0 (-0.9 + 0.3x) + (2x + -5) * 0.4 + 4x = 0 Reorder the terms: -0.9 + 0.3x + (-5 + 2x) * 0.4 + 4x = 0 Reorder the terms for easier multiplication: -0.9 + 0.3x + 0.4(-5 + 2x) + 4x = 0 -0.9 + 0.3x + (-5 * 0.4 + 2x * 0.4) + 4x = 0 -0.9 + 0.3x + (-2 + 0.8x) + 4x = 0 Reorder the terms: -0.9 + -2 + 0.3x + 0.8x + 4x = 0 Combine like terms: -0.9 + -2 = -2.9 -2.9 + 0.3x + 0.8x + 4x = 0 Combine like terms: 0.3x + 0.8x = 1.1x -2.9 + 1.1x + 4x = 0 Combine like terms: 1.1x + 4x = 5.1x -2.9 + 5.1x = 0 Solving -2.9 + 5.1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.9' to each side of the equation. -2.9 + 2.9 + 5.1x = 0 + 2.9 Combine like terms: -2.9 + 2.9 = 0.0 0.0 + 5.1x = 0 + 2.9 5.1x = 0 + 2.9 Combine like terms: 0 + 2.9 = 2.9 5.1x = 2.9 Divide each side by '5.1'. x = 0.568627451 Simplifying x = 0.568627451
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