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Simplifying 3x + -1(6 + -12x) = 4(3 + -15x) 3x + (6 * -1 + -12x * -1) = 4(3 + -15x) 3x + (-6 + 12x) = 4(3 + -15x) Reorder the terms: -6 + 3x + 12x = 4(3 + -15x) Combine like terms: 3x + 12x = 15x -6 + 15x = 4(3 + -15x) -6 + 15x = (3 * 4 + -15x * 4) -6 + 15x = (12 + -60x) Solving -6 + 15x = 12 + -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. -6 + 15x + 60x = 12 + -60x + 60x Combine like terms: 15x + 60x = 75x -6 + 75x = 12 + -60x + 60x Combine like terms: -60x + 60x = 0 -6 + 75x = 12 + 0 -6 + 75x = 12 Add '6' to each side of the equation. -6 + 6 + 75x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 75x = 12 + 6 75x = 12 + 6 Combine like terms: 12 + 6 = 18 75x = 18 Divide each side by '75'. x = 0.24 Simplifying x = 0.24
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