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Simplifying 5.3x + -10.5 = 7.95 + -6.7x Reorder the terms: -10.5 + 5.3x = 7.95 + -6.7x Solving -10.5 + 5.3x = 7.95 + -6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.7x' to each side of the equation. -10.5 + 5.3x + 6.7x = 7.95 + -6.7x + 6.7x Combine like terms: 5.3x + 6.7x = 12x -10.5 + 12x = 7.95 + -6.7x + 6.7x Combine like terms: -6.7x + 6.7x = 0.0 -10.5 + 12x = 7.95 + 0.0 -10.5 + 12x = 7.95 Add '10.5' to each side of the equation. -10.5 + 10.5 + 12x = 7.95 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + 12x = 7.95 + 10.5 12x = 7.95 + 10.5 Combine like terms: 7.95 + 10.5 = 18.45 12x = 18.45 Divide each side by '12'. x = 1.5375 Simplifying x = 1.5375
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