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Simplifying 5x + 1 + -4(x + 2) = 0 Reorder the terms: 5x + 1 + -4(2 + x) = 0 5x + 1 + (2 * -4 + x * -4) = 0 5x + 1 + (-8 + -4x) = 0 Reorder the terms: 1 + -8 + 5x + -4x = 0 Combine like terms: 1 + -8 = -7 -7 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x -7 + 1x = 0 Solving -7 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 0 + 7 1x = 0 + 7 Combine like terms: 0 + 7 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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