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Simplifying 5x + 2(x + 1) = 2(2x + -1) Reorder the terms: 5x + 2(1 + x) = 2(2x + -1) 5x + (1 * 2 + x * 2) = 2(2x + -1) 5x + (2 + 2x) = 2(2x + -1) Reorder the terms: 2 + 5x + 2x = 2(2x + -1) Combine like terms: 5x + 2x = 7x 2 + 7x = 2(2x + -1) Reorder the terms: 2 + 7x = 2(-1 + 2x) 2 + 7x = (-1 * 2 + 2x * 2) 2 + 7x = (-2 + 4x) Solving 2 + 7x = -2 + 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. 2 + 7x + -4x = -2 + 4x + -4x Combine like terms: 7x + -4x = 3x 2 + 3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 3x = -2 + 0 2 + 3x = -2 Add '-2' to each side of the equation. 2 + -2 + 3x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -2 + -2 3x = -2 + -2 Combine like terms: -2 + -2 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333
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