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Simplifying 9 + -2(x + 5) = 13 + -6(x + 1) Reorder the terms: 9 + -2(5 + x) = 13 + -6(x + 1) 9 + (5 * -2 + x * -2) = 13 + -6(x + 1) 9 + (-10 + -2x) = 13 + -6(x + 1) Combine like terms: 9 + -10 = -1 -1 + -2x = 13 + -6(x + 1) Reorder the terms: -1 + -2x = 13 + -6(1 + x) -1 + -2x = 13 + (1 * -6 + x * -6) -1 + -2x = 13 + (-6 + -6x) Combine like terms: 13 + -6 = 7 -1 + -2x = 7 + -6x Solving -1 + -2x = 7 + -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. -1 + -2x + 6x = 7 + -6x + 6x Combine like terms: -2x + 6x = 4x -1 + 4x = 7 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 4x = 7 + 0 -1 + 4x = 7 Add '1' to each side of the equation. -1 + 1 + 4x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 7 + 1 4x = 7 + 1 Combine like terms: 7 + 1 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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