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Simplifying 5x + 13 = 4x + -1(2x + -7) Reorder the terms: 13 + 5x = 4x + -1(2x + -7) Reorder the terms: 13 + 5x = 4x + -1(-7 + 2x) 13 + 5x = 4x + (-7 * -1 + 2x * -1) 13 + 5x = 4x + (7 + -2x) Reorder the terms: 13 + 5x = 7 + 4x + -2x Combine like terms: 4x + -2x = 2x 13 + 5x = 7 + 2x Solving 13 + 5x = 7 + 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 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x 13 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 3x = 7 + 0 13 + 3x = 7 Add '-13' to each side of the equation. 13 + -13 + 3x = 7 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 7 + -13 3x = 7 + -13 Combine like terms: 7 + -13 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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