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Simplifying 5x + 12x + 24 = 2x + -36 Reorder the terms: 24 + 5x + 12x = 2x + -36 Combine like terms: 5x + 12x = 17x 24 + 17x = 2x + -36 Reorder the terms: 24 + 17x = -36 + 2x Solving 24 + 17x = -36 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 17x + -2x = -36 + 2x + -2x Combine like terms: 17x + -2x = 15x 24 + 15x = -36 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 15x = -36 + 0 24 + 15x = -36 Add '-24' to each side of the equation. 24 + -24 + 15x = -36 + -24 Combine like terms: 24 + -24 = 0 0 + 15x = -36 + -24 15x = -36 + -24 Combine like terms: -36 + -24 = -60 15x = -60 Divide each side by '15'. x = -4 Simplifying x = -4
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