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Simplifying -1(x + 8) + -4x = -9(x + -8) + 4 Reorder the terms: -1(8 + x) + -4x = -9(x + -8) + 4 (8 * -1 + x * -1) + -4x = -9(x + -8) + 4 (-8 + -1x) + -4x = -9(x + -8) + 4 Combine like terms: -1x + -4x = -5x -8 + -5x = -9(x + -8) + 4 Reorder the terms: -8 + -5x = -9(-8 + x) + 4 -8 + -5x = (-8 * -9 + x * -9) + 4 -8 + -5x = (72 + -9x) + 4 Reorder the terms: -8 + -5x = 72 + 4 + -9x Combine like terms: 72 + 4 = 76 -8 + -5x = 76 + -9x Solving -8 + -5x = 76 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -8 + -5x + 9x = 76 + -9x + 9x Combine like terms: -5x + 9x = 4x -8 + 4x = 76 + -9x + 9x Combine like terms: -9x + 9x = 0 -8 + 4x = 76 + 0 -8 + 4x = 76 Add '8' to each side of the equation. -8 + 8 + 4x = 76 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = 76 + 8 4x = 76 + 8 Combine like terms: 76 + 8 = 84 4x = 84 Divide each side by '4'. x = 21 Simplifying x = 21
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