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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 = -30 -30 + -8x = -3(x + 3) + -1 Reorder the terms: -30 + -8x = -3(3 + x) + -1 -30 + -8x = (3 * -3 + x * -3) + -1 -30 + -8x = (-9 + -3x) + -1 Reorder the terms: -30 + -8x = -9 + -1 + -3x Combine like terms: -9 + -1 = -10 -30 + -8x = -10 + -3x Solving -30 + -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. -30 + -8x + 3x = -10 + -3x + 3x Combine like terms: -8x + 3x = -5x -30 + -5x = -10 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + -5x = -10 + 0 -30 + -5x = -10 Add '30' to each side of the equation. -30 + 30 + -5x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -5x = -10 + 30 -5x = -10 + 30 Combine like terms: -10 + 30 = 20 -5x = 20 Divide each side by '-5'. x = -4 Simplifying x = -4
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