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Simplifying 5(x + 4) + -4(x + 2) = 3 Reorder the terms: 5(4 + x) + -4(x + 2) = 3 (4 * 5 + x * 5) + -4(x + 2) = 3 (20 + 5x) + -4(x + 2) = 3 Reorder the terms: 20 + 5x + -4(2 + x) = 3 20 + 5x + (2 * -4 + x * -4) = 3 20 + 5x + (-8 + -4x) = 3 Reorder the terms: 20 + -8 + 5x + -4x = 3 Combine like terms: 20 + -8 = 12 12 + 5x + -4x = 3 Combine like terms: 5x + -4x = 1x 12 + 1x = 3 Solving 12 + 1x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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