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Simplifying -8x + 76 + 12x = 4(3x + -5) Reorder the terms: 76 + -8x + 12x = 4(3x + -5) Combine like terms: -8x + 12x = 4x 76 + 4x = 4(3x + -5) Reorder the terms: 76 + 4x = 4(-5 + 3x) 76 + 4x = (-5 * 4 + 3x * 4) 76 + 4x = (-20 + 12x) Solving 76 + 4x = -20 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 76 + 4x + -12x = -20 + 12x + -12x Combine like terms: 4x + -12x = -8x 76 + -8x = -20 + 12x + -12x Combine like terms: 12x + -12x = 0 76 + -8x = -20 + 0 76 + -8x = -20 Add '-76' to each side of the equation. 76 + -76 + -8x = -20 + -76 Combine like terms: 76 + -76 = 0 0 + -8x = -20 + -76 -8x = -20 + -76 Combine like terms: -20 + -76 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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