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Simplifying 9 + 7(x + -6) = 10 + -6(x + -2) Reorder the terms: 9 + 7(-6 + x) = 10 + -6(x + -2) 9 + (-6 * 7 + x * 7) = 10 + -6(x + -2) 9 + (-42 + 7x) = 10 + -6(x + -2) Combine like terms: 9 + -42 = -33 -33 + 7x = 10 + -6(x + -2) Reorder the terms: -33 + 7x = 10 + -6(-2 + x) -33 + 7x = 10 + (-2 * -6 + x * -6) -33 + 7x = 10 + (12 + -6x) Combine like terms: 10 + 12 = 22 -33 + 7x = 22 + -6x Solving -33 + 7x = 22 + -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. -33 + 7x + 6x = 22 + -6x + 6x Combine like terms: 7x + 6x = 13x -33 + 13x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -33 + 13x = 22 + 0 -33 + 13x = 22 Add '33' to each side of the equation. -33 + 33 + 13x = 22 + 33 Combine like terms: -33 + 33 = 0 0 + 13x = 22 + 33 13x = 22 + 33 Combine like terms: 22 + 33 = 55 13x = 55 Divide each side by '13'. x = 4.230769231 Simplifying x = 4.230769231
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