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Simplifying 5(2x + 1) = 7x + -1 Reorder the terms: 5(1 + 2x) = 7x + -1 (1 * 5 + 2x * 5) = 7x + -1 (5 + 10x) = 7x + -1 Reorder the terms: 5 + 10x = -1 + 7x Solving 5 + 10x = -1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 10x + -7x = -1 + 7x + -7x Combine like terms: 10x + -7x = 3x 5 + 3x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 3x = -1 + 0 5 + 3x = -1 Add '-5' to each side of the equation. 5 + -5 + 3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = -1 + -5 3x = -1 + -5 Combine like terms: -1 + -5 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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