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Simplifying 3x + 23 = 7x + -45 Reorder the terms: 23 + 3x = 7x + -45 Reorder the terms: 23 + 3x = -45 + 7x Solving 23 + 3x = -45 + 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 + 3x + -7x = -45 + 7x + -7x Combine like terms: 3x + -7x = -4x 23 + -4x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 23 + -4x = -45 + 0 23 + -4x = -45 Add '-23' to each side of the equation. 23 + -23 + -4x = -45 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = -45 + -23 -4x = -45 + -23 Combine like terms: -45 + -23 = -68 -4x = -68 Divide each side by '-4'. x = 17 Simplifying x = 17
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