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Simplifying -8(x + 4) + -2 = -3(x + 3) + -1 Reorder the terms: -8(4 + x) + -2 = -3(x + 3) + -1 (4 * -8 + x * -8) + -2 = -3(x + 3) + -1 (-32 + -8x) + -2 = -3(x + 3) + -1 Reorder the terms: -32 + -2 + -8x = -3(x + 3) + -1 Combine like terms: -32 + -2 = -34 -34 + -8x = -3(x + 3) + -1 Reorder the terms: -34 + -8x = -3(3 + x) + -1 -34 + -8x = (3 * -3 + x * -3) + -1 -34 + -8x = (-9 + -3x) + -1 Reorder the terms: -34 + -8x = -9 + -1 + -3x Combine like terms: -9 + -1 = -10 -34 + -8x = -10 + -3x Solving -34 + -8x = -10 + -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 + -8x + 3x = -10 + -3x + 3x Combine like terms: -8x + 3x = -5x -34 + -5x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -34 + -5x = -10 + 0 -34 + -5x = -10 Add '34' to each side of the equation. -34 + 34 + -5x = -10 + 34 Combine like terms: -34 + 34 = 0 0 + -5x = -10 + 34 -5x = -10 + 34 Combine like terms: -10 + 34 = 24 -5x = 24 Divide each side by '-5'. x = -4.8 Simplifying x = -4.8
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