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Simplifying 12(10) + 6(x) = 8(10 + x) Multiply 12 * 10 120 + 6(x) = 8(10 + x) 120 + 6x = (10 * 8 + x * 8) 120 + 6x = (80 + 8x) Solving 120 + 6x = 80 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 120 + 6x + -8x = 80 + 8x + -8x Combine like terms: 6x + -8x = -2x 120 + -2x = 80 + 8x + -8x Combine like terms: 8x + -8x = 0 120 + -2x = 80 + 0 120 + -2x = 80 Add '-120' to each side of the equation. 120 + -120 + -2x = 80 + -120 Combine like terms: 120 + -120 = 0 0 + -2x = 80 + -120 -2x = 80 + -120 Combine like terms: 80 + -120 = -40 -2x = -40 Divide each side by '-2'. x = 20 Simplifying x = 20
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