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Simplifying -5.4 + -5x + -7.5 + -3x = -7x + 8.5 Reorder the terms: -5.4 + -7.5 + -5x + -3x = -7x + 8.5 Combine like terms: -5.4 + -7.5 = -12.9 -12.9 + -5x + -3x = -7x + 8.5 Combine like terms: -5x + -3x = -8x -12.9 + -8x = -7x + 8.5 Reorder the terms: -12.9 + -8x = 8.5 + -7x Solving -12.9 + -8x = 8.5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -12.9 + -8x + 7x = 8.5 + -7x + 7x Combine like terms: -8x + 7x = -1x -12.9 + -1x = 8.5 + -7x + 7x Combine like terms: -7x + 7x = 0 -12.9 + -1x = 8.5 + 0 -12.9 + -1x = 8.5 Add '12.9' to each side of the equation. -12.9 + 12.9 + -1x = 8.5 + 12.9 Combine like terms: -12.9 + 12.9 = 0.0 0.0 + -1x = 8.5 + 12.9 -1x = 8.5 + 12.9 Combine like terms: 8.5 + 12.9 = 21.4 -1x = 21.4 Divide each side by '-1'. x = -21.4 Simplifying x = -21.4
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