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Simplifying -3x + 24 + x = -4x + 5 + 12 Reorder the terms: 24 + -3x + x = -4x + 5 + 12 Combine like terms: -3x + x = -2x 24 + -2x = -4x + 5 + 12 Reorder the terms: 24 + -2x = 5 + 12 + -4x Combine like terms: 5 + 12 = 17 24 + -2x = 17 + -4x Solving 24 + -2x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 24 + -2x + 4x = 17 + -4x + 4x Combine like terms: -2x + 4x = 2x 24 + 2x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 24 + 2x = 17 + 0 24 + 2x = 17 Add '-24' to each side of the equation. 24 + -24 + 2x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 17 + -24 2x = 17 + -24 Combine like terms: 17 + -24 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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