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Simplifying 13 + 2x = 3(-1x + 3) + -31 Reorder the terms: 13 + 2x = 3(3 + -1x) + -31 13 + 2x = (3 * 3 + -1x * 3) + -31 13 + 2x = (9 + -3x) + -31 Reorder the terms: 13 + 2x = 9 + -31 + -3x Combine like terms: 9 + -31 = -22 13 + 2x = -22 + -3x Solving 13 + 2x = -22 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 13 + 2x + 3x = -22 + -3x + 3x Combine like terms: 2x + 3x = 5x 13 + 5x = -22 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 5x = -22 + 0 13 + 5x = -22 Add '-13' to each side of the equation. 13 + -13 + 5x = -22 + -13 Combine like terms: 13 + -13 = 0 0 + 5x = -22 + -13 5x = -22 + -13 Combine like terms: -22 + -13 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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