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Simplifying 80(x + -8) = 48(x + 8) Reorder the terms: 80(-8 + x) = 48(x + 8) (-8 * 80 + x * 80) = 48(x + 8) (-640 + 80x) = 48(x + 8) Reorder the terms: -640 + 80x = 48(8 + x) -640 + 80x = (8 * 48 + x * 48) -640 + 80x = (384 + 48x) Solving -640 + 80x = 384 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -640 + 80x + -48x = 384 + 48x + -48x Combine like terms: 80x + -48x = 32x -640 + 32x = 384 + 48x + -48x Combine like terms: 48x + -48x = 0 -640 + 32x = 384 + 0 -640 + 32x = 384 Add '640' to each side of the equation. -640 + 640 + 32x = 384 + 640 Combine like terms: -640 + 640 = 0 0 + 32x = 384 + 640 32x = 384 + 640 Combine like terms: 384 + 640 = 1024 32x = 1024 Divide each side by '32'. x = 32 Simplifying x = 32
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