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Simplifying 12 + -3x = -4(6x + 4) + -4(-5 + -5x) Reorder the terms: 12 + -3x = -4(4 + 6x) + -4(-5 + -5x) 12 + -3x = (4 * -4 + 6x * -4) + -4(-5 + -5x) 12 + -3x = (-16 + -24x) + -4(-5 + -5x) 12 + -3x = -16 + -24x + (-5 * -4 + -5x * -4) 12 + -3x = -16 + -24x + (20 + 20x) Reorder the terms: 12 + -3x = -16 + 20 + -24x + 20x Combine like terms: -16 + 20 = 4 12 + -3x = 4 + -24x + 20x Combine like terms: -24x + 20x = -4x 12 + -3x = 4 + -4x Solving 12 + -3x = 4 + -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 + -3x + 4x = 4 + -4x + 4x Combine like terms: -3x + 4x = 1x 12 + 1x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 1x = 4 + 0 12 + 1x = 4 Add '-12' to each side of the equation. 12 + -12 + 1x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 4 + -12 1x = 4 + -12 Combine like terms: 4 + -12 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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