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Simplifying 3(x + -4) = 3(1 + -4x) Reorder the terms: 3(-4 + x) = 3(1 + -4x) (-4 * 3 + x * 3) = 3(1 + -4x) (-12 + 3x) = 3(1 + -4x) -12 + 3x = (1 * 3 + -4x * 3) -12 + 3x = (3 + -12x) Solving -12 + 3x = 3 + -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 + 3x + 12x = 3 + -12x + 12x Combine like terms: 3x + 12x = 15x -12 + 15x = 3 + -12x + 12x Combine like terms: -12x + 12x = 0 -12 + 15x = 3 + 0 -12 + 15x = 3 Add '12' to each side of the equation. -12 + 12 + 15x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = 3 + 12 15x = 3 + 12 Combine like terms: 3 + 12 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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