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Simplifying 5 + -2(x + 4) = 6x + -11 Reorder the terms: 5 + -2(4 + x) = 6x + -11 5 + (4 * -2 + x * -2) = 6x + -11 5 + (-8 + -2x) = 6x + -11 Combine like terms: 5 + -8 = -3 -3 + -2x = 6x + -11 Reorder the terms: -3 + -2x = -11 + 6x Solving -3 + -2x = -11 + 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. -3 + -2x + -6x = -11 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = -11 + 0 -3 + -8x = -11 Add '3' to each side of the equation. -3 + 3 + -8x = -11 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -11 + 3 -8x = -11 + 3 Combine like terms: -11 + 3 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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