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Simplifying 5(x + 2) + -1 = 4x + 2 Reorder the terms: 5(2 + x) + -1 = 4x + 2 (2 * 5 + x * 5) + -1 = 4x + 2 (10 + 5x) + -1 = 4x + 2 Reorder the terms: 10 + -1 + 5x = 4x + 2 Combine like terms: 10 + -1 = 9 9 + 5x = 4x + 2 Reorder the terms: 9 + 5x = 2 + 4x Solving 9 + 5x = 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. 9 + 5x + -4x = 2 + 4x + -4x Combine like terms: 5x + -4x = 1x 9 + 1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 1x = 2 + 0 9 + 1x = 2 Add '-9' to each side of the equation. 9 + -9 + 1x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 2 + -9 1x = 2 + -9 Combine like terms: 2 + -9 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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