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Simplifying -6x + -8(-12 + 4x) = 7x + -4(1 + 5x) -6x + (-12 * -8 + 4x * -8) = 7x + -4(1 + 5x) -6x + (96 + -32x) = 7x + -4(1 + 5x) Reorder the terms: 96 + -6x + -32x = 7x + -4(1 + 5x) Combine like terms: -6x + -32x = -38x 96 + -38x = 7x + -4(1 + 5x) 96 + -38x = 7x + (1 * -4 + 5x * -4) 96 + -38x = 7x + (-4 + -20x) Reorder the terms: 96 + -38x = -4 + 7x + -20x Combine like terms: 7x + -20x = -13x 96 + -38x = -4 + -13x Solving 96 + -38x = -4 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 96 + -38x + 13x = -4 + -13x + 13x Combine like terms: -38x + 13x = -25x 96 + -25x = -4 + -13x + 13x Combine like terms: -13x + 13x = 0 96 + -25x = -4 + 0 96 + -25x = -4 Add '-96' to each side of the equation. 96 + -96 + -25x = -4 + -96 Combine like terms: 96 + -96 = 0 0 + -25x = -4 + -96 -25x = -4 + -96 Combine like terms: -4 + -96 = -100 -25x = -100 Divide each side by '-25'. x = 4 Simplifying x = 4
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