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Simplifying 4(3x + -2) + -4 = 4(x + -5) + 56 Reorder the terms: 4(-2 + 3x) + -4 = 4(x + -5) + 56 (-2 * 4 + 3x * 4) + -4 = 4(x + -5) + 56 (-8 + 12x) + -4 = 4(x + -5) + 56 Reorder the terms: -8 + -4 + 12x = 4(x + -5) + 56 Combine like terms: -8 + -4 = -12 -12 + 12x = 4(x + -5) + 56 Reorder the terms: -12 + 12x = 4(-5 + x) + 56 -12 + 12x = (-5 * 4 + x * 4) + 56 -12 + 12x = (-20 + 4x) + 56 Reorder the terms: -12 + 12x = -20 + 56 + 4x Combine like terms: -20 + 56 = 36 -12 + 12x = 36 + 4x Solving -12 + 12x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + 12x + -4x = 36 + 4x + -4x Combine like terms: 12x + -4x = 8x -12 + 8x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 8x = 36 + 0 -12 + 8x = 36 Add '12' to each side of the equation. -12 + 12 + 8x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 36 + 12 8x = 36 + 12 Combine like terms: 36 + 12 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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