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Simplifying -5x + -11 = -7(-4x + -4) + 6x Reorder the terms: -11 + -5x = -7(-4x + -4) + 6x Reorder the terms: -11 + -5x = -7(-4 + -4x) + 6x -11 + -5x = (-4 * -7 + -4x * -7) + 6x -11 + -5x = (28 + 28x) + 6x Combine like terms: 28x + 6x = 34x -11 + -5x = 28 + 34x Solving -11 + -5x = 28 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -11 + -5x + -34x = 28 + 34x + -34x Combine like terms: -5x + -34x = -39x -11 + -39x = 28 + 34x + -34x Combine like terms: 34x + -34x = 0 -11 + -39x = 28 + 0 -11 + -39x = 28 Add '11' to each side of the equation. -11 + 11 + -39x = 28 + 11 Combine like terms: -11 + 11 = 0 0 + -39x = 28 + 11 -39x = 28 + 11 Combine like terms: 28 + 11 = 39 -39x = 39 Divide each side by '-39'. x = -1 Simplifying x = -1
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