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Simplifying 5(2x + 4) + -1 = 3x + -2 Reorder the terms: 5(4 + 2x) + -1 = 3x + -2 (4 * 5 + 2x * 5) + -1 = 3x + -2 (20 + 10x) + -1 = 3x + -2 Reorder the terms: 20 + -1 + 10x = 3x + -2 Combine like terms: 20 + -1 = 19 19 + 10x = 3x + -2 Reorder the terms: 19 + 10x = -2 + 3x Solving 19 + 10x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + 10x + -3x = -2 + 3x + -3x Combine like terms: 10x + -3x = 7x 19 + 7x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + 7x = -2 + 0 19 + 7x = -2 Add '-19' to each side of the equation. 19 + -19 + 7x = -2 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = -2 + -19 7x = -2 + -19 Combine like terms: -2 + -19 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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