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Simplifying 2x + -13 = 5(x + -4) + -5 Reorder the terms: -13 + 2x = 5(x + -4) + -5 Reorder the terms: -13 + 2x = 5(-4 + x) + -5 -13 + 2x = (-4 * 5 + x * 5) + -5 -13 + 2x = (-20 + 5x) + -5 Reorder the terms: -13 + 2x = -20 + -5 + 5x Combine like terms: -20 + -5 = -25 -13 + 2x = -25 + 5x Solving -13 + 2x = -25 + 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. -13 + 2x + -5x = -25 + 5x + -5x Combine like terms: 2x + -5x = -3x -13 + -3x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -3x = -25 + 0 -13 + -3x = -25 Add '13' to each side of the equation. -13 + 13 + -3x = -25 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = -25 + 13 -3x = -25 + 13 Combine like terms: -25 + 13 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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