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Simplifying 7(x + 2) + -13 = 4(x + -5) Reorder the terms: 7(2 + x) + -13 = 4(x + -5) (2 * 7 + x * 7) + -13 = 4(x + -5) (14 + 7x) + -13 = 4(x + -5) Reorder the terms: 14 + -13 + 7x = 4(x + -5) Combine like terms: 14 + -13 = 1 1 + 7x = 4(x + -5) Reorder the terms: 1 + 7x = 4(-5 + x) 1 + 7x = (-5 * 4 + x * 4) 1 + 7x = (-20 + 4x) Solving 1 + 7x = -20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 1 + 7x + -4x = -20 + 4x + -4x Combine like terms: 7x + -4x = 3x 1 + 3x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 1 + 3x = -20 + 0 1 + 3x = -20 Add '-1' to each side of the equation. 1 + -1 + 3x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -20 + -1 3x = -20 + -1 Combine like terms: -20 + -1 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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