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Simplifying -2(3 + -4x) + 7x = 12x + -1(x + 4) (3 * -2 + -4x * -2) + 7x = 12x + -1(x + 4) (-6 + 8x) + 7x = 12x + -1(x + 4) Combine like terms: 8x + 7x = 15x -6 + 15x = 12x + -1(x + 4) Reorder the terms: -6 + 15x = 12x + -1(4 + x) -6 + 15x = 12x + (4 * -1 + x * -1) -6 + 15x = 12x + (-4 + -1x) Reorder the terms: -6 + 15x = -4 + 12x + -1x Combine like terms: 12x + -1x = 11x -6 + 15x = -4 + 11x Solving -6 + 15x = -4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 15x + -11x = -4 + 11x + -11x Combine like terms: 15x + -11x = 4x -6 + 4x = -4 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + 4x = -4 + 0 -6 + 4x = -4 Add '6' to each side of the equation. -6 + 6 + 4x = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = -4 + 6 4x = -4 + 6 Combine like terms: -4 + 6 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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