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Simplifying -5.2x + 2.9 = -12x + 30.1 Reorder the terms: 2.9 + -5.2x = -12x + 30.1 Reorder the terms: 2.9 + -5.2x = 30.1 + -12x Solving 2.9 + -5.2x = 30.1 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2.9 + -5.2x + 12x = 30.1 + -12x + 12x Combine like terms: -5.2x + 12x = 6.8x 2.9 + 6.8x = 30.1 + -12x + 12x Combine like terms: -12x + 12x = 0 2.9 + 6.8x = 30.1 + 0 2.9 + 6.8x = 30.1 Add '-2.9' to each side of the equation. 2.9 + -2.9 + 6.8x = 30.1 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + 6.8x = 30.1 + -2.9 6.8x = 30.1 + -2.9 Combine like terms: 30.1 + -2.9 = 27.2 6.8x = 27.2 Divide each side by '6.8'. x = 4 Simplifying x = 4
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