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Simplifying 4x + 10 = 9x + 8 + -6.2x Reorder the terms: 10 + 4x = 9x + 8 + -6.2x Reorder the terms: 10 + 4x = 8 + 9x + -6.2x Combine like terms: 9x + -6.2x = 2.8x 10 + 4x = 8 + 2.8x Solving 10 + 4x = 8 + 2.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8x' to each side of the equation. 10 + 4x + -2.8x = 8 + 2.8x + -2.8x Combine like terms: 4x + -2.8x = 1.2x 10 + 1.2x = 8 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 10 + 1.2x = 8 + 0.0 10 + 1.2x = 8 Add '-10' to each side of the equation. 10 + -10 + 1.2x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + 1.2x = 8 + -10 1.2x = 8 + -10 Combine like terms: 8 + -10 = -2 1.2x = -2 Divide each side by '1.2'. x = -1.666666667 Simplifying x = -1.666666667
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