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Simplifying 4x + 12 = 7x + 33 Reorder the terms: 12 + 4x = 7x + 33 Reorder the terms: 12 + 4x = 33 + 7x Solving 12 + 4x = 33 + 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 = 33 + 7x + -7x Combine like terms: 4x + -7x = -3x 12 + -3x = 33 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -3x = 33 + 0 12 + -3x = 33 Add '-12' to each side of the equation. 12 + -12 + -3x = 33 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 33 + -12 -3x = 33 + -12 Combine like terms: 33 + -12 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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