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Simplifying 6 + -1(5 + -2x) + 7(x + -4) = 3 + -6x 6 + (5 * -1 + -2x * -1) + 7(x + -4) = 3 + -6x 6 + (-5 + 2x) + 7(x + -4) = 3 + -6x Reorder the terms: 6 + -5 + 2x + 7(-4 + x) = 3 + -6x 6 + -5 + 2x + (-4 * 7 + x * 7) = 3 + -6x 6 + -5 + 2x + (-28 + 7x) = 3 + -6x Reorder the terms: 6 + -5 + -28 + 2x + 7x = 3 + -6x Combine like terms: 6 + -5 = 1 1 + -28 + 2x + 7x = 3 + -6x Combine like terms: 1 + -28 = -27 -27 + 2x + 7x = 3 + -6x Combine like terms: 2x + 7x = 9x -27 + 9x = 3 + -6x Solving -27 + 9x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -27 + 9x + 6x = 3 + -6x + 6x Combine like terms: 9x + 6x = 15x -27 + 15x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -27 + 15x = 3 + 0 -27 + 15x = 3 Add '27' to each side of the equation. -27 + 27 + 15x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 15x = 3 + 27 15x = 3 + 27 Combine like terms: 3 + 27 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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