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Simplifying 6(x + -2 + 3x) = -3(-4x + 1 + -5) Reorder the terms: 6(-2 + x + 3x) = -3(-4x + 1 + -5) Combine like terms: x + 3x = 4x 6(-2 + 4x) = -3(-4x + 1 + -5) (-2 * 6 + 4x * 6) = -3(-4x + 1 + -5) (-12 + 24x) = -3(-4x + 1 + -5) Reorder the terms: -12 + 24x = -3(1 + -5 + -4x) Combine like terms: 1 + -5 = -4 -12 + 24x = -3(-4 + -4x) -12 + 24x = (-4 * -3 + -4x * -3) -12 + 24x = (12 + 12x) Solving -12 + 24x = 12 + 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 + 24x + -12x = 12 + 12x + -12x Combine like terms: 24x + -12x = 12x -12 + 12x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 12x = 12 + 0 -12 + 12x = 12 Add '12' to each side of the equation. -12 + 12 + 12x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 12 + 12 12x = 12 + 12 Combine like terms: 12 + 12 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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