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Simplifying 2(x + -4) = 5 + -1(7x + -11) Reorder the terms: 2(-4 + x) = 5 + -1(7x + -11) (-4 * 2 + x * 2) = 5 + -1(7x + -11) (-8 + 2x) = 5 + -1(7x + -11) Reorder the terms: -8 + 2x = 5 + -1(-11 + 7x) -8 + 2x = 5 + (-11 * -1 + 7x * -1) -8 + 2x = 5 + (11 + -7x) Combine like terms: 5 + 11 = 16 -8 + 2x = 16 + -7x Solving -8 + 2x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + 2x + 7x = 16 + -7x + 7x Combine like terms: 2x + 7x = 9x -8 + 9x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 9x = 16 + 0 -8 + 9x = 16 Add '8' to each side of the equation. -8 + 8 + 9x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 9x = 16 + 8 9x = 16 + 8 Combine like terms: 16 + 8 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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