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Simplifying -5x + -34 = -3(x + 8) Reorder the terms: -34 + -5x = -3(x + 8) Reorder the terms: -34 + -5x = -3(8 + x) -34 + -5x = (8 * -3 + x * -3) -34 + -5x = (-24 + -3x) Solving -34 + -5x = -24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -34 + -5x + 3x = -24 + -3x + 3x Combine like terms: -5x + 3x = -2x -34 + -2x = -24 + -3x + 3x Combine like terms: -3x + 3x = 0 -34 + -2x = -24 + 0 -34 + -2x = -24 Add '34' to each side of the equation. -34 + 34 + -2x = -24 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -24 + 34 -2x = -24 + 34 Combine like terms: -24 + 34 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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