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Simplifying -3(1 + -2x) + -3(x + -4) = -5 + -4x (1 * -3 + -2x * -3) + -3(x + -4) = -5 + -4x (-3 + 6x) + -3(x + -4) = -5 + -4x Reorder the terms: -3 + 6x + -3(-4 + x) = -5 + -4x -3 + 6x + (-4 * -3 + x * -3) = -5 + -4x -3 + 6x + (12 + -3x) = -5 + -4x Reorder the terms: -3 + 12 + 6x + -3x = -5 + -4x Combine like terms: -3 + 12 = 9 9 + 6x + -3x = -5 + -4x Combine like terms: 6x + -3x = 3x 9 + 3x = -5 + -4x Solving 9 + 3x = -5 + -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. 9 + 3x + 4x = -5 + -4x + 4x Combine like terms: 3x + 4x = 7x 9 + 7x = -5 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 7x = -5 + 0 9 + 7x = -5 Add '-9' to each side of the equation. 9 + -9 + 7x = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = -5 + -9 7x = -5 + -9 Combine like terms: -5 + -9 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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