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Simplifying 7x + -1(4x + -7) = 5x + -13 Reorder the terms: 7x + -1(-7 + 4x) = 5x + -13 7x + (-7 * -1 + 4x * -1) = 5x + -13 7x + (7 + -4x) = 5x + -13 Reorder the terms: 7 + 7x + -4x = 5x + -13 Combine like terms: 7x + -4x = 3x 7 + 3x = 5x + -13 Reorder the terms: 7 + 3x = -13 + 5x Solving 7 + 3x = -13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + 3x + -5x = -13 + 5x + -5x Combine like terms: 3x + -5x = -2x 7 + -2x = -13 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -2x = -13 + 0 7 + -2x = -13 Add '-7' to each side of the equation. 7 + -7 + -2x = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -13 + -7 -2x = -13 + -7 Combine like terms: -13 + -7 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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