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Simplifying 5x + -9x + 13 = 2x + 31 Reorder the terms: 13 + 5x + -9x = 2x + 31 Combine like terms: 5x + -9x = -4x 13 + -4x = 2x + 31 Reorder the terms: 13 + -4x = 31 + 2x Solving 13 + -4x = 31 + 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. 13 + -4x + -2x = 31 + 2x + -2x Combine like terms: -4x + -2x = -6x 13 + -6x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -6x = 31 + 0 13 + -6x = 31 Add '-13' to each side of the equation. 13 + -13 + -6x = 31 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = 31 + -13 -6x = 31 + -13 Combine like terms: 31 + -13 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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