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Simplifying 31 + -4x + 65 + -9x = 52 + -24x Reorder the terms: 31 + 65 + -4x + -9x = 52 + -24x Combine like terms: 31 + 65 = 96 96 + -4x + -9x = 52 + -24x Combine like terms: -4x + -9x = -13x 96 + -13x = 52 + -24x Solving 96 + -13x = 52 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 96 + -13x + 24x = 52 + -24x + 24x Combine like terms: -13x + 24x = 11x 96 + 11x = 52 + -24x + 24x Combine like terms: -24x + 24x = 0 96 + 11x = 52 + 0 96 + 11x = 52 Add '-96' to each side of the equation. 96 + -96 + 11x = 52 + -96 Combine like terms: 96 + -96 = 0 0 + 11x = 52 + -96 11x = 52 + -96 Combine like terms: 52 + -96 = -44 11x = -44 Divide each side by '11'. x = -4 Simplifying x = -4
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