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Simplifying -4.6 + -4x + -3.3 + -1x = -4x + 7.5 Reorder the terms: -4.6 + -3.3 + -4x + -1x = -4x + 7.5 Combine like terms: -4.6 + -3.3 = -7.9 -7.9 + -4x + -1x = -4x + 7.5 Combine like terms: -4x + -1x = -5x -7.9 + -5x = -4x + 7.5 Reorder the terms: -7.9 + -5x = 7.5 + -4x Solving -7.9 + -5x = 7.5 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7.9 + -5x + 4x = 7.5 + -4x + 4x Combine like terms: -5x + 4x = -1x -7.9 + -1x = 7.5 + -4x + 4x Combine like terms: -4x + 4x = 0 -7.9 + -1x = 7.5 + 0 -7.9 + -1x = 7.5 Add '7.9' to each side of the equation. -7.9 + 7.9 + -1x = 7.5 + 7.9 Combine like terms: -7.9 + 7.9 = 0.0 0.0 + -1x = 7.5 + 7.9 -1x = 7.5 + 7.9 Combine like terms: 7.5 + 7.9 = 15.4 -1x = 15.4 Divide each side by '-1'. x = -15.4 Simplifying x = -15.4
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