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Simplifying 3x + 12 = 7x + -6 Reorder the terms: 12 + 3x = 7x + -6 Reorder the terms: 12 + 3x = -6 + 7x Solving 12 + 3x = -6 + 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 + 3x + -7x = -6 + 7x + -7x Combine like terms: 3x + -7x = -4x 12 + -4x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -4x = -6 + 0 12 + -4x = -6 Add '-12' to each side of the equation. 12 + -12 + -4x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -6 + -12 -4x = -6 + -12 Combine like terms: -6 + -12 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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