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Simplifying 2(3x + -4) = 2(1.3x + 12) Reorder the terms: 2(-4 + 3x) = 2(1.3x + 12) (-4 * 2 + 3x * 2) = 2(1.3x + 12) (-8 + 6x) = 2(1.3x + 12) Reorder the terms: -8 + 6x = 2(12 + 1.3x) -8 + 6x = (12 * 2 + 1.3x * 2) -8 + 6x = (24 + 2.6x) Solving -8 + 6x = 24 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -8 + 6x + -2.6x = 24 + 2.6x + -2.6x Combine like terms: 6x + -2.6x = 3.4x -8 + 3.4x = 24 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -8 + 3.4x = 24 + 0.0 -8 + 3.4x = 24 Add '8' to each side of the equation. -8 + 8 + 3.4x = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 3.4x = 24 + 8 3.4x = 24 + 8 Combine like terms: 24 + 8 = 32 3.4x = 32 Divide each side by '3.4'. x = 9.411764706 Simplifying x = 9.411764706
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