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Simplifying 7(x + -7) + 6(x + -3) + (x + -6) = 2x + -1 Reorder the terms: 7(-7 + x) + 6(x + -3) + (x + -6) = 2x + -1 (-7 * 7 + x * 7) + 6(x + -3) + (x + -6) = 2x + -1 (-49 + 7x) + 6(x + -3) + (x + -6) = 2x + -1 Reorder the terms: -49 + 7x + 6(-3 + x) + (x + -6) = 2x + -1 -49 + 7x + (-3 * 6 + x * 6) + (x + -6) = 2x + -1 -49 + 7x + (-18 + 6x) + (x + -6) = 2x + -1 Reorder the terms: -49 + 7x + -18 + 6x + (-6 + x) = 2x + -1 Remove parenthesis around (-6 + x) -49 + 7x + -18 + 6x + -6 + x = 2x + -1 Reorder the terms: -49 + -18 + -6 + 7x + 6x + x = 2x + -1 Combine like terms: -49 + -18 = -67 -67 + -6 + 7x + 6x + x = 2x + -1 Combine like terms: -67 + -6 = -73 -73 + 7x + 6x + x = 2x + -1 Combine like terms: 7x + 6x = 13x -73 + 13x + x = 2x + -1 Combine like terms: 13x + x = 14x -73 + 14x = 2x + -1 Reorder the terms: -73 + 14x = -1 + 2x Solving -73 + 14x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -73 + 14x + -2x = -1 + 2x + -2x Combine like terms: 14x + -2x = 12x -73 + 12x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -73 + 12x = -1 + 0 -73 + 12x = -1 Add '73' to each side of the equation. -73 + 73 + 12x = -1 + 73 Combine like terms: -73 + 73 = 0 0 + 12x = -1 + 73 12x = -1 + 73 Combine like terms: -1 + 73 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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