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Simplifying 13 + 2x = 2(-1x + 6) + -31 Reorder the terms: 13 + 2x = 2(6 + -1x) + -31 13 + 2x = (6 * 2 + -1x * 2) + -31 13 + 2x = (12 + -2x) + -31 Reorder the terms: 13 + 2x = 12 + -31 + -2x Combine like terms: 12 + -31 = -19 13 + 2x = -19 + -2x Solving 13 + 2x = -19 + -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 + 2x + 2x = -19 + -2x + 2x Combine like terms: 2x + 2x = 4x 13 + 4x = -19 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 4x = -19 + 0 13 + 4x = -19 Add '-13' to each side of the equation. 13 + -13 + 4x = -19 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = -19 + -13 4x = -19 + -13 Combine like terms: -19 + -13 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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