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Simplifying 5.3x + -15.4 + 3.7x = 6.2 + 10x Reorder the terms: -15.4 + 5.3x + 3.7x = 6.2 + 10x Combine like terms: 5.3x + 3.7x = 9x -15.4 + 9x = 6.2 + 10x Solving -15.4 + 9x = 6.2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -15.4 + 9x + -10x = 6.2 + 10x + -10x Combine like terms: 9x + -10x = -1x -15.4 + -1x = 6.2 + 10x + -10x Combine like terms: 10x + -10x = 0 -15.4 + -1x = 6.2 + 0 -15.4 + -1x = 6.2 Add '15.4' to each side of the equation. -15.4 + 15.4 + -1x = 6.2 + 15.4 Combine like terms: -15.4 + 15.4 = 0.0 0.0 + -1x = 6.2 + 15.4 -1x = 6.2 + 15.4 Combine like terms: 6.2 + 15.4 = 21.6 -1x = 21.6 Divide each side by '-1'. x = -21.6 Simplifying x = -21.6
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