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Simplifying 12x + -1(4 + -3x) = 7x + -1(6 + -2x) + 26 12x + (4 * -1 + -3x * -1) = 7x + -1(6 + -2x) + 26 12x + (-4 + 3x) = 7x + -1(6 + -2x) + 26 Reorder the terms: -4 + 12x + 3x = 7x + -1(6 + -2x) + 26 Combine like terms: 12x + 3x = 15x -4 + 15x = 7x + -1(6 + -2x) + 26 -4 + 15x = 7x + (6 * -1 + -2x * -1) + 26 -4 + 15x = 7x + (-6 + 2x) + 26 Reorder the terms: -4 + 15x = -6 + 26 + 7x + 2x Combine like terms: -6 + 26 = 20 -4 + 15x = 20 + 7x + 2x Combine like terms: 7x + 2x = 9x -4 + 15x = 20 + 9x Solving -4 + 15x = 20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 15x + -9x = 20 + 9x + -9x Combine like terms: 15x + -9x = 6x -4 + 6x = 20 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + 6x = 20 + 0 -4 + 6x = 20 Add '4' to each side of the equation. -4 + 4 + 6x = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 20 + 4 6x = 20 + 4 Combine like terms: 20 + 4 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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