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Simplifying 5(x + 1) + 2 = 2x + 1 Reorder the terms: 5(1 + x) + 2 = 2x + 1 (1 * 5 + x * 5) + 2 = 2x + 1 (5 + 5x) + 2 = 2x + 1 Reorder the terms: 5 + 2 + 5x = 2x + 1 Combine like terms: 5 + 2 = 7 7 + 5x = 2x + 1 Reorder the terms: 7 + 5x = 1 + 2x Solving 7 + 5x = 1 + 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. 7 + 5x + -2x = 1 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = 1 + 0 7 + 3x = 1 Add '-7' to each side of the equation. 7 + -7 + 3x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 1 + -7 3x = 1 + -7 Combine like terms: 1 + -7 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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