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Simplifying 10(x + -5) + (-2x + 5) = 0 Reorder the terms: 10(-5 + x) + (-2x + 5) = 0 (-5 * 10 + x * 10) + (-2x + 5) = 0 (-50 + 10x) + (-2x + 5) = 0 Reorder the terms: -50 + 10x + (5 + -2x) = 0 Remove parenthesis around (5 + -2x) -50 + 10x + 5 + -2x = 0 Reorder the terms: -50 + 5 + 10x + -2x = 0 Combine like terms: -50 + 5 = -45 -45 + 10x + -2x = 0 Combine like terms: 10x + -2x = 8x -45 + 8x = 0 Solving -45 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 8x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 8x = 0 + 45 8x = 0 + 45 Combine like terms: 0 + 45 = 45 8x = 45 Divide each side by '8'. x = 5.625 Simplifying x = 5.625
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