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Simplifying 3x + x + 12 = 7x + -20 + 35 Reorder the terms: 12 + 3x + x = 7x + -20 + 35 Combine like terms: 3x + x = 4x 12 + 4x = 7x + -20 + 35 Reorder the terms: 12 + 4x = -20 + 35 + 7x Combine like terms: -20 + 35 = 15 12 + 4x = 15 + 7x Solving 12 + 4x = 15 + 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. 12 + 4x + -7x = 15 + 7x + -7x Combine like terms: 4x + -7x = -3x 12 + -3x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -3x = 15 + 0 12 + -3x = 15 Add '-12' to each side of the equation. 12 + -12 + -3x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 15 + -12 -3x = 15 + -12 Combine like terms: 15 + -12 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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