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Simplifying 3x + 6 = 12 + 7x + -35 Reorder the terms: 6 + 3x = 12 + 7x + -35 Reorder the terms: 6 + 3x = 12 + -35 + 7x Combine like terms: 12 + -35 = -23 6 + 3x = -23 + 7x Solving 6 + 3x = -23 + 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. 6 + 3x + -7x = -23 + 7x + -7x Combine like terms: 3x + -7x = -4x 6 + -4x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + -4x = -23 + 0 6 + -4x = -23 Add '-6' to each side of the equation. 6 + -6 + -4x = -23 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = -23 + -6 -4x = -23 + -6 Combine like terms: -23 + -6 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25
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