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Simplifying 7x + -1(4 + -2x) = 12 + -1(3x + -3) + -19 7x + (4 * -1 + -2x * -1) = 12 + -1(3x + -3) + -19 7x + (-4 + 2x) = 12 + -1(3x + -3) + -19 Reorder the terms: -4 + 7x + 2x = 12 + -1(3x + -3) + -19 Combine like terms: 7x + 2x = 9x -4 + 9x = 12 + -1(3x + -3) + -19 Reorder the terms: -4 + 9x = 12 + -1(-3 + 3x) + -19 -4 + 9x = 12 + (-3 * -1 + 3x * -1) + -19 -4 + 9x = 12 + (3 + -3x) + -19 Reorder the terms: -4 + 9x = 12 + 3 + -19 + -3x Combine like terms: 12 + 3 = 15 -4 + 9x = 15 + -19 + -3x Combine like terms: 15 + -19 = -4 -4 + 9x = -4 + -3x Add '4' to each side of the equation. -4 + 4 + 9x = -4 + 4 + -3x Combine like terms: -4 + 4 = 0 0 + 9x = -4 + 4 + -3x 9x = -4 + 4 + -3x Combine like terms: -4 + 4 = 0 9x = 0 + -3x 9x = -3x Solving 9x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9x + 3x = -3x + 3x Combine like terms: 9x + 3x = 12x 12x = -3x + 3x Combine like terms: -3x + 3x = 0 12x = 0 Divide each side by '12'. x = 0 Simplifying x = 0
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