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Simplifying 8x + 4.2 = 10x + 11.6 Reorder the terms: 4.2 + 8x = 10x + 11.6 Reorder the terms: 4.2 + 8x = 11.6 + 10x Solving 4.2 + 8x = 11.6 + 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. 4.2 + 8x + -10x = 11.6 + 10x + -10x Combine like terms: 8x + -10x = -2x 4.2 + -2x = 11.6 + 10x + -10x Combine like terms: 10x + -10x = 0 4.2 + -2x = 11.6 + 0 4.2 + -2x = 11.6 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -2x = 11.6 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -2x = 11.6 + -4.2 -2x = 11.6 + -4.2 Combine like terms: 11.6 + -4.2 = 7.4 -2x = 7.4 Divide each side by '-2'. x = -3.7 Simplifying x = -3.7
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