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Simplifying 5(x + -1) + -2(x + 8) = 0 Reorder the terms: 5(-1 + x) + -2(x + 8) = 0 (-1 * 5 + x * 5) + -2(x + 8) = 0 (-5 + 5x) + -2(x + 8) = 0 Reorder the terms: -5 + 5x + -2(8 + x) = 0 -5 + 5x + (8 * -2 + x * -2) = 0 -5 + 5x + (-16 + -2x) = 0 Reorder the terms: -5 + -16 + 5x + -2x = 0 Combine like terms: -5 + -16 = -21 -21 + 5x + -2x = 0 Combine like terms: 5x + -2x = 3x -21 + 3x = 0 Solving -21 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 3x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3x = 0 + 21 3x = 0 + 21 Combine like terms: 0 + 21 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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