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Simplifying 7(2x + -4) + 8(3x + 3) = 0 Reorder the terms: 7(-4 + 2x) + 8(3x + 3) = 0 (-4 * 7 + 2x * 7) + 8(3x + 3) = 0 (-28 + 14x) + 8(3x + 3) = 0 Reorder the terms: -28 + 14x + 8(3 + 3x) = 0 -28 + 14x + (3 * 8 + 3x * 8) = 0 -28 + 14x + (24 + 24x) = 0 Reorder the terms: -28 + 24 + 14x + 24x = 0 Combine like terms: -28 + 24 = -4 -4 + 14x + 24x = 0 Combine like terms: 14x + 24x = 38x -4 + 38x = 0 Solving -4 + 38x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 38x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 38x = 0 + 4 38x = 0 + 4 Combine like terms: 0 + 4 = 4 38x = 4 Divide each side by '38'. x = 0.1052631579 Simplifying x = 0.1052631579
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