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Simplifying 10(x + 8) = 12x Reorder the terms: 10(8 + x) = 12x (8 * 10 + x * 10) = 12x (80 + 10x) = 12x Solving 80 + 10x = 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. 80 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x 80 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 80 + -2x = 0 Add '-80' to each side of the equation. 80 + -80 + -2x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + -2x = 0 + -80 -2x = 0 + -80 Combine like terms: 0 + -80 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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