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Simplifying 12 + x + 74 = 7x + 20 Reorder the terms: 12 + 74 + x = 7x + 20 Combine like terms: 12 + 74 = 86 86 + x = 7x + 20 Reorder the terms: 86 + x = 20 + 7x Solving 86 + x = 20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 86 + x + -7x = 20 + 7x + -7x Combine like terms: x + -7x = -6x 86 + -6x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 86 + -6x = 20 + 0 86 + -6x = 20 Add '-86' to each side of the equation. 86 + -86 + -6x = 20 + -86 Combine like terms: 86 + -86 = 0 0 + -6x = 20 + -86 -6x = 20 + -86 Combine like terms: 20 + -86 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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