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Simplifying 3x + 5 + -12x + 18 = 7x + -33 Reorder the terms: 5 + 18 + 3x + -12x = 7x + -33 Combine like terms: 5 + 18 = 23 23 + 3x + -12x = 7x + -33 Combine like terms: 3x + -12x = -9x 23 + -9x = 7x + -33 Reorder the terms: 23 + -9x = -33 + 7x Solving 23 + -9x = -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. 23 + -9x + -7x = -33 + 7x + -7x Combine like terms: -9x + -7x = -16x 23 + -16x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -16x = -33 + 0 23 + -16x = -33 Add '-23' to each side of the equation. 23 + -23 + -16x = -33 + -23 Combine like terms: 23 + -23 = 0 0 + -16x = -33 + -23 -16x = -33 + -23 Combine like terms: -33 + -23 = -56 -16x = -56 Divide each side by '-16'. x = 3.5 Simplifying x = 3.5
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