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Simplifying 13 + -3x = 2 + -1(7x + 5) Reorder the terms: 13 + -3x = 2 + -1(5 + 7x) 13 + -3x = 2 + (5 * -1 + 7x * -1) 13 + -3x = 2 + (-5 + -7x) Combine like terms: 2 + -5 = -3 13 + -3x = -3 + -7x Solving 13 + -3x = -3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 13 + -3x + 7x = -3 + -7x + 7x Combine like terms: -3x + 7x = 4x 13 + 4x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 13 + 4x = -3 + 0 13 + 4x = -3 Add '-13' to each side of the equation. 13 + -13 + 4x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = -3 + -13 4x = -3 + -13 Combine like terms: -3 + -13 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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