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Simplifying 13 + 7(2x + 1) = 4x + 10 Reorder the terms: 13 + 7(1 + 2x) = 4x + 10 13 + (1 * 7 + 2x * 7) = 4x + 10 13 + (7 + 14x) = 4x + 10 Combine like terms: 13 + 7 = 20 20 + 14x = 4x + 10 Reorder the terms: 20 + 14x = 10 + 4x Solving 20 + 14x = 10 + 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. 20 + 14x + -4x = 10 + 4x + -4x Combine like terms: 14x + -4x = 10x 20 + 10x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 10x = 10 + 0 20 + 10x = 10 Add '-20' to each side of the equation. 20 + -20 + 10x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 10 + -20 10x = 10 + -20 Combine like terms: 10 + -20 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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