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Simplifying 6(5x + 2) = 4(3x + -4) Reorder the terms: 6(2 + 5x) = 4(3x + -4) (2 * 6 + 5x * 6) = 4(3x + -4) (12 + 30x) = 4(3x + -4) Reorder the terms: 12 + 30x = 4(-4 + 3x) 12 + 30x = (-4 * 4 + 3x * 4) 12 + 30x = (-16 + 12x) Solving 12 + 30x = -16 + 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. 12 + 30x + -12x = -16 + 12x + -12x Combine like terms: 30x + -12x = 18x 12 + 18x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + 18x = -16 + 0 12 + 18x = -16 Add '-12' to each side of the equation. 12 + -12 + 18x = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 18x = -16 + -12 18x = -16 + -12 Combine like terms: -16 + -12 = -28 18x = -28 Divide each side by '18'. x = -1.555555556 Simplifying x = -1.555555556
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