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Simplifying 2.4 + 6 + -1.2x = 9 + -8x + 12 Combine like terms: 2.4 + 6 = 8.4 8.4 + -1.2x = 9 + -8x + 12 Reorder the terms: 8.4 + -1.2x = 9 + 12 + -8x Combine like terms: 9 + 12 = 21 8.4 + -1.2x = 21 + -8x Solving 8.4 + -1.2x = 21 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8.4 + -1.2x + 8x = 21 + -8x + 8x Combine like terms: -1.2x + 8x = 6.8x 8.4 + 6.8x = 21 + -8x + 8x Combine like terms: -8x + 8x = 0 8.4 + 6.8x = 21 + 0 8.4 + 6.8x = 21 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 6.8x = 21 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 6.8x = 21 + -8.4 6.8x = 21 + -8.4 Combine like terms: 21 + -8.4 = 12.6 6.8x = 12.6 Divide each side by '6.8'. x = 1.852941176 Simplifying x = 1.852941176
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