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Simplifying 7 + 6(x + -6) = 7 + -6(x + -7) Reorder the terms: 7 + 6(-6 + x) = 7 + -6(x + -7) 7 + (-6 * 6 + x * 6) = 7 + -6(x + -7) 7 + (-36 + 6x) = 7 + -6(x + -7) Combine like terms: 7 + -36 = -29 -29 + 6x = 7 + -6(x + -7) Reorder the terms: -29 + 6x = 7 + -6(-7 + x) -29 + 6x = 7 + (-7 * -6 + x * -6) -29 + 6x = 7 + (42 + -6x) Combine like terms: 7 + 42 = 49 -29 + 6x = 49 + -6x Solving -29 + 6x = 49 + -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. -29 + 6x + 6x = 49 + -6x + 6x Combine like terms: 6x + 6x = 12x -29 + 12x = 49 + -6x + 6x Combine like terms: -6x + 6x = 0 -29 + 12x = 49 + 0 -29 + 12x = 49 Add '29' to each side of the equation. -29 + 29 + 12x = 49 + 29 Combine like terms: -29 + 29 = 0 0 + 12x = 49 + 29 12x = 49 + 29 Combine like terms: 49 + 29 = 78 12x = 78 Divide each side by '12'. x = 6.5 Simplifying x = 6.5
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