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Simplifying -8.3 + 4x + -6.5 + 5x + -2.8 = 5.3 + 10x + 1.2 Reorder the terms: -8.3 + -6.5 + -2.8 + 4x + 5x = 5.3 + 10x + 1.2 Combine like terms: -8.3 + -6.5 = -14.8 -14.8 + -2.8 + 4x + 5x = 5.3 + 10x + 1.2 Combine like terms: -14.8 + -2.8 = -17.6 -17.6 + 4x + 5x = 5.3 + 10x + 1.2 Combine like terms: 4x + 5x = 9x -17.6 + 9x = 5.3 + 10x + 1.2 Reorder the terms: -17.6 + 9x = 5.3 + 1.2 + 10x Combine like terms: 5.3 + 1.2 = 6.5 -17.6 + 9x = 6.5 + 10x Solving -17.6 + 9x = 6.5 + 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. -17.6 + 9x + -10x = 6.5 + 10x + -10x Combine like terms: 9x + -10x = -1x -17.6 + -1x = 6.5 + 10x + -10x Combine like terms: 10x + -10x = 0 -17.6 + -1x = 6.5 + 0 -17.6 + -1x = 6.5 Add '17.6' to each side of the equation. -17.6 + 17.6 + -1x = 6.5 + 17.6 Combine like terms: -17.6 + 17.6 = 0.0 0.0 + -1x = 6.5 + 17.6 -1x = 6.5 + 17.6 Combine like terms: 6.5 + 17.6 = 24.1 -1x = 24.1 Divide each side by '-1'. x = -24.1 Simplifying x = -24.1
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