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Simplifying -4(1 + -12x) + -5(12x + -4) = -3x + 4 + -7x (1 * -4 + -12x * -4) + -5(12x + -4) = -3x + 4 + -7x (-4 + 48x) + -5(12x + -4) = -3x + 4 + -7x Reorder the terms: -4 + 48x + -5(-4 + 12x) = -3x + 4 + -7x -4 + 48x + (-4 * -5 + 12x * -5) = -3x + 4 + -7x -4 + 48x + (20 + -60x) = -3x + 4 + -7x Reorder the terms: -4 + 20 + 48x + -60x = -3x + 4 + -7x Combine like terms: -4 + 20 = 16 16 + 48x + -60x = -3x + 4 + -7x Combine like terms: 48x + -60x = -12x 16 + -12x = -3x + 4 + -7x Reorder the terms: 16 + -12x = 4 + -3x + -7x Combine like terms: -3x + -7x = -10x 16 + -12x = 4 + -10x Solving 16 + -12x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 16 + -12x + 10x = 4 + -10x + 10x Combine like terms: -12x + 10x = -2x 16 + -2x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 16 + -2x = 4 + 0 16 + -2x = 4 Add '-16' to each side of the equation. 16 + -16 + -2x = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = 4 + -16 -2x = 4 + -16 Combine like terms: 4 + -16 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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