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Simplifying x + 13 = 3(x + 5) Reorder the terms: 13 + x = 3(x + 5) Reorder the terms: 13 + x = 3(5 + x) 13 + x = (5 * 3 + x * 3) 13 + x = (15 + 3x) Solving 13 + x = 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 + x + -3x = 15 + 3x + -3x Combine like terms: x + -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 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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