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Simplifying 3(4x + -2.6) = 2x + -7.8 Reorder the terms: 3(-2.6 + 4x) = 2x + -7.8 (-2.6 * 3 + 4x * 3) = 2x + -7.8 (-7.8 + 12x) = 2x + -7.8 Reorder the terms: -7.8 + 12x = -7.8 + 2x Add '7.8' to each side of the equation. -7.8 + 7.8 + 12x = -7.8 + 7.8 + 2x Combine like terms: -7.8 + 7.8 = 0.0 0.0 + 12x = -7.8 + 7.8 + 2x 12x = -7.8 + 7.8 + 2x Combine like terms: -7.8 + 7.8 = 0.0 12x = 0.0 + 2x 12x = 2x Solving 12x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12x + -2x = 2x + -2x Combine like terms: 12x + -2x = 10x 10x = 2x + -2x Combine like terms: 2x + -2x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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