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Simplifying 2.4x + 10 = 9x + 8 + -6.2x Reorder the terms: 10 + 2.4x = 9x + 8 + -6.2x Reorder the terms: 10 + 2.4x = 8 + 9x + -6.2x Combine like terms: 9x + -6.2x = 2.8x 10 + 2.4x = 8 + 2.8x Solving 10 + 2.4x = 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 + 2.4x + -2.8x = 8 + 2.8x + -2.8x Combine like terms: 2.4x + -2.8x = -0.4x 10 + -0.4x = 8 + 2.8x + -2.8x Combine like terms: 2.8x + -2.8x = 0.0 10 + -0.4x = 8 + 0.0 10 + -0.4x = 8 Add '-10' to each side of the equation. 10 + -10 + -0.4x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -0.4x = 8 + -10 -0.4x = 8 + -10 Combine like terms: 8 + -10 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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