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Simplifying 5x + 13 = 3(x + -5) Reorder the terms: 13 + 5x = 3(x + -5) Reorder the terms: 13 + 5x = 3(-5 + x) 13 + 5x = (-5 * 3 + x * 3) 13 + 5x = (-15 + 3x) Solving 13 + 5x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x 13 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 2x = -15 + 0 13 + 2x = -15 Add '-13' to each side of the equation. 13 + -13 + 2x = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -15 + -13 2x = -15 + -13 Combine like terms: -15 + -13 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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