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Simplifying x + 13 = 2(x + 4) Reorder the terms: 13 + x = 2(x + 4) Reorder the terms: 13 + x = 2(4 + x) 13 + x = (4 * 2 + x * 2) 13 + x = (8 + 2x) Solving 13 + x = 8 + 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 + x + -2x = 8 + 2x + -2x Combine like terms: x + -2x = -1x 13 + -1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -1x = 8 + 0 13 + -1x = 8 Add '-13' to each side of the equation. 13 + -13 + -1x = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 8 + -13 -1x = 8 + -13 Combine like terms: 8 + -13 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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