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Simplifying 7(6 + x) + -12(x + 3) = x + -1 + 7 + -7x (6 * 7 + x * 7) + -12(x + 3) = x + -1 + 7 + -7x (42 + 7x) + -12(x + 3) = x + -1 + 7 + -7x Reorder the terms: 42 + 7x + -12(3 + x) = x + -1 + 7 + -7x 42 + 7x + (3 * -12 + x * -12) = x + -1 + 7 + -7x 42 + 7x + (-36 + -12x) = x + -1 + 7 + -7x Reorder the terms: 42 + -36 + 7x + -12x = x + -1 + 7 + -7x Combine like terms: 42 + -36 = 6 6 + 7x + -12x = x + -1 + 7 + -7x Combine like terms: 7x + -12x = -5x 6 + -5x = x + -1 + 7 + -7x Reorder the terms: 6 + -5x = -1 + 7 + x + -7x Combine like terms: -1 + 7 = 6 6 + -5x = 6 + x + -7x Combine like terms: x + -7x = -6x 6 + -5x = 6 + -6x Add '-6' to each side of the equation. 6 + -6 + -5x = 6 + -6 + -6x Combine like terms: 6 + -6 = 0 0 + -5x = 6 + -6 + -6x -5x = 6 + -6 + -6x Combine like terms: 6 + -6 = 0 -5x = 0 + -6x -5x = -6x Solving -5x = -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. -5x + 6x = -6x + 6x Combine like terms: -5x + 6x = 1x 1x = -6x + 6x Combine like terms: -6x + 6x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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