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Simplifying 5(x + 4) + -2 = 3x + 12 Reorder the terms: 5(4 + x) + -2 = 3x + 12 (4 * 5 + x * 5) + -2 = 3x + 12 (20 + 5x) + -2 = 3x + 12 Reorder the terms: 20 + -2 + 5x = 3x + 12 Combine like terms: 20 + -2 = 18 18 + 5x = 3x + 12 Reorder the terms: 18 + 5x = 12 + 3x Solving 18 + 5x = 12 + 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. 18 + 5x + -3x = 12 + 3x + -3x Combine like terms: 5x + -3x = 2x 18 + 2x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 2x = 12 + 0 18 + 2x = 12 Add '-18' to each side of the equation. 18 + -18 + 2x = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 12 + -18 2x = 12 + -18 Combine like terms: 12 + -18 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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