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