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Simplifying 5x + -13 = -1x + -1(-3x + 7) Reorder the terms: -13 + 5x = -1x + -1(-3x + 7) Reorder the terms: -13 + 5x = -1x + -1(7 + -3x) -13 + 5x = -1x + (7 * -1 + -3x * -1) -13 + 5x = -1x + (-7 + 3x) Reorder the terms: -13 + 5x = -7 + -1x + 3x Combine like terms: -1x + 3x = 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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