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Simplifying 8x + -1(5x + 4) = 5x + -34 Reorder the terms: 8x + -1(4 + 5x) = 5x + -34 8x + (4 * -1 + 5x * -1) = 5x + -34 8x + (-4 + -5x) = 5x + -34 Reorder the terms: -4 + 8x + -5x = 5x + -34 Combine like terms: 8x + -5x = 3x -4 + 3x = 5x + -34 Reorder the terms: -4 + 3x = -34 + 5x Solving -4 + 3x = -34 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = -34 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -34 + 0 -4 + -2x = -34 Add '4' to each side of the equation. -4 + 4 + -2x = -34 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -34 + 4 -2x = -34 + 4 Combine like terms: -34 + 4 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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