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Simplifying 3(2x + 1.2) = 6(3x + -4) Reorder the terms: 3(1.2 + 2x) = 6(3x + -4) (1.2 * 3 + 2x * 3) = 6(3x + -4) (3.6 + 6x) = 6(3x + -4) Reorder the terms: 3.6 + 6x = 6(-4 + 3x) 3.6 + 6x = (-4 * 6 + 3x * 6) 3.6 + 6x = (-24 + 18x) Solving 3.6 + 6x = -24 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 3.6 + 6x + -18x = -24 + 18x + -18x Combine like terms: 6x + -18x = -12x 3.6 + -12x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 3.6 + -12x = -24 + 0 3.6 + -12x = -24 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -12x = -24 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -12x = -24 + -3.6 -12x = -24 + -3.6 Combine like terms: -24 + -3.6 = -27.6 -12x = -27.6 Divide each side by '-12'. x = 2.3 Simplifying x = 2.3
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