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Simplifying (8x + 10) = (12x + 40) Reorder the terms: (10 + 8x) = (12x + 40) Remove parenthesis around (10 + 8x) 10 + 8x = (12x + 40) Reorder the terms: 10 + 8x = (40 + 12x) Remove parenthesis around (40 + 12x) 10 + 8x = 40 + 12x Solving 10 + 8x = 40 + 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. 10 + 8x + -12x = 40 + 12x + -12x Combine like terms: 8x + -12x = -4x 10 + -4x = 40 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -4x = 40 + 0 10 + -4x = 40 Add '-10' to each side of the equation. 10 + -10 + -4x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 40 + -10 -4x = 40 + -10 Combine like terms: 40 + -10 = 30 -4x = 30 Divide each side by '-4'. x = -7.5 Simplifying x = -7.5
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