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Simplifying 3x + 12 + -0.8x = 3.4 + -0.8x + -9.4 Reorder the terms: 12 + 3x + -0.8x = 3.4 + -0.8x + -9.4 Combine like terms: 3x + -0.8x = 2.2x 12 + 2.2x = 3.4 + -0.8x + -9.4 Reorder the terms: 12 + 2.2x = 3.4 + -9.4 + -0.8x Combine like terms: 3.4 + -9.4 = -6 12 + 2.2x = -6 + -0.8x Solving 12 + 2.2x = -6 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 12 + 2.2x + 0.8x = -6 + -0.8x + 0.8x Combine like terms: 2.2x + 0.8x = 3x 12 + 3x = -6 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 12 + 3x = -6 + 0.0 12 + 3x = -6 Add '-12' to each side of the equation. 12 + -12 + 3x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -6 + -12 3x = -6 + -12 Combine like terms: -6 + -12 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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