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Simplifying 24x + 24 + -7x + 12 = 13x + 8 Reorder the terms: 24 + 12 + 24x + -7x = 13x + 8 Combine like terms: 24 + 12 = 36 36 + 24x + -7x = 13x + 8 Combine like terms: 24x + -7x = 17x 36 + 17x = 13x + 8 Reorder the terms: 36 + 17x = 8 + 13x Solving 36 + 17x = 8 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 36 + 17x + -13x = 8 + 13x + -13x Combine like terms: 17x + -13x = 4x 36 + 4x = 8 + 13x + -13x Combine like terms: 13x + -13x = 0 36 + 4x = 8 + 0 36 + 4x = 8 Add '-36' to each side of the equation. 36 + -36 + 4x = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 4x = 8 + -36 4x = 8 + -36 Combine like terms: 8 + -36 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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