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Simplifying 9x + -10 = 5x + -2(2x + -5) Reorder the terms: -10 + 9x = 5x + -2(2x + -5) Reorder the terms: -10 + 9x = 5x + -2(-5 + 2x) -10 + 9x = 5x + (-5 * -2 + 2x * -2) -10 + 9x = 5x + (10 + -4x) Reorder the terms: -10 + 9x = 10 + 5x + -4x Combine like terms: 5x + -4x = 1x -10 + 9x = 10 + 1x Solving -10 + 9x = 10 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -10 + 9x + -1x = 10 + 1x + -1x Combine like terms: 9x + -1x = 8x -10 + 8x = 10 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 8x = 10 + 0 -10 + 8x = 10 Add '10' to each side of the equation. -10 + 10 + 8x = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = 10 + 10 8x = 10 + 10 Combine like terms: 10 + 10 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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