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Simplifying -4.5 + -3x + -4.1 + -1x = -3x + 8.4 Reorder the terms: -4.5 + -4.1 + -3x + -1x = -3x + 8.4 Combine like terms: -4.5 + -4.1 = -8.6 -8.6 + -3x + -1x = -3x + 8.4 Combine like terms: -3x + -1x = -4x -8.6 + -4x = -3x + 8.4 Reorder the terms: -8.6 + -4x = 8.4 + -3x Solving -8.6 + -4x = 8.4 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8.6 + -4x + 3x = 8.4 + -3x + 3x Combine like terms: -4x + 3x = -1x -8.6 + -1x = 8.4 + -3x + 3x Combine like terms: -3x + 3x = 0 -8.6 + -1x = 8.4 + 0 -8.6 + -1x = 8.4 Add '8.6' to each side of the equation. -8.6 + 8.6 + -1x = 8.4 + 8.6 Combine like terms: -8.6 + 8.6 = 0.0 0.0 + -1x = 8.4 + 8.6 -1x = 8.4 + 8.6 Combine like terms: 8.4 + 8.6 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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