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Simplifying 6 + 7(x + -1) = 11 + -9(x + -4) Reorder the terms: 6 + 7(-1 + x) = 11 + -9(x + -4) 6 + (-1 * 7 + x * 7) = 11 + -9(x + -4) 6 + (-7 + 7x) = 11 + -9(x + -4) Combine like terms: 6 + -7 = -1 -1 + 7x = 11 + -9(x + -4) Reorder the terms: -1 + 7x = 11 + -9(-4 + x) -1 + 7x = 11 + (-4 * -9 + x * -9) -1 + 7x = 11 + (36 + -9x) Combine like terms: 11 + 36 = 47 -1 + 7x = 47 + -9x Solving -1 + 7x = 47 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -1 + 7x + 9x = 47 + -9x + 9x Combine like terms: 7x + 9x = 16x -1 + 16x = 47 + -9x + 9x Combine like terms: -9x + 9x = 0 -1 + 16x = 47 + 0 -1 + 16x = 47 Add '1' to each side of the equation. -1 + 1 + 16x = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 16x = 47 + 1 16x = 47 + 1 Combine like terms: 47 + 1 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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