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Simplifying 5(x + 4) + -8 = 3x + -2 Reorder the terms: 5(4 + x) + -8 = 3x + -2 (4 * 5 + x * 5) + -8 = 3x + -2 (20 + 5x) + -8 = 3x + -2 Reorder the terms: 20 + -8 + 5x = 3x + -2 Combine like terms: 20 + -8 = 12 12 + 5x = 3x + -2 Reorder the terms: 12 + 5x = -2 + 3x Solving 12 + 5x = -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. 12 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x 12 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 2x = -2 + 0 12 + 2x = -2 Add '-12' to each side of the equation. 12 + -12 + 2x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -2 + -12 2x = -2 + -12 Combine like terms: -2 + -12 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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