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Simplifying -34 + -8x = -4x + -7(5x + -4) Reorder the terms: -34 + -8x = -4x + -7(-4 + 5x) -34 + -8x = -4x + (-4 * -7 + 5x * -7) -34 + -8x = -4x + (28 + -35x) Reorder the terms: -34 + -8x = 28 + -4x + -35x Combine like terms: -4x + -35x = -39x -34 + -8x = 28 + -39x Solving -34 + -8x = 28 + -39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39x' to each side of the equation. -34 + -8x + 39x = 28 + -39x + 39x Combine like terms: -8x + 39x = 31x -34 + 31x = 28 + -39x + 39x Combine like terms: -39x + 39x = 0 -34 + 31x = 28 + 0 -34 + 31x = 28 Add '34' to each side of the equation. -34 + 34 + 31x = 28 + 34 Combine like terms: -34 + 34 = 0 0 + 31x = 28 + 34 31x = 28 + 34 Combine like terms: 28 + 34 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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