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Simplifying -4.6 + -3x + -6.3 + -1x = -3x + -5.2 Reorder the terms: -4.6 + -6.3 + -3x + -1x = -3x + -5.2 Combine like terms: -4.6 + -6.3 = -10.9 -10.9 + -3x + -1x = -3x + -5.2 Combine like terms: -3x + -1x = -4x -10.9 + -4x = -3x + -5.2 Reorder the terms: -10.9 + -4x = -5.2 + -3x Solving -10.9 + -4x = -5.2 + -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. -10.9 + -4x + 3x = -5.2 + -3x + 3x Combine like terms: -4x + 3x = -1x -10.9 + -1x = -5.2 + -3x + 3x Combine like terms: -3x + 3x = 0 -10.9 + -1x = -5.2 + 0 -10.9 + -1x = -5.2 Add '10.9' to each side of the equation. -10.9 + 10.9 + -1x = -5.2 + 10.9 Combine like terms: -10.9 + 10.9 = 0.0 0.0 + -1x = -5.2 + 10.9 -1x = -5.2 + 10.9 Combine like terms: -5.2 + 10.9 = 5.7 -1x = 5.7 Divide each side by '-1'. x = -5.7 Simplifying x = -5.7
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