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Simplifying 13 = 2(2x + 1) + 7 Reorder the terms: 13 = 2(1 + 2x) + 7 13 = (1 * 2 + 2x * 2) + 7 13 = (2 + 4x) + 7 Reorder the terms: 13 = 2 + 7 + 4x Combine like terms: 2 + 7 = 9 13 = 9 + 4x Solving 13 = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 13 + -4x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -4x = 9 + 0 13 + -4x = 9 Add '-13' to each side of the equation. 13 + -13 + -4x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 9 + -13 -4x = 9 + -13 Combine like terms: 9 + -13 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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