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Simplifying -8(x + 4) = 2x + 48 Reorder the terms: -8(4 + x) = 2x + 48 (4 * -8 + x * -8) = 2x + 48 (-32 + -8x) = 2x + 48 Reorder the terms: -32 + -8x = 48 + 2x Solving -32 + -8x = 48 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -32 + -8x + -2x = 48 + 2x + -2x Combine like terms: -8x + -2x = -10x -32 + -10x = 48 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + -10x = 48 + 0 -32 + -10x = 48 Add '32' to each side of the equation. -32 + 32 + -10x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + -10x = 48 + 32 -10x = 48 + 32 Combine like terms: 48 + 32 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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