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Simplifying 5(x + -1) + -4(x + -2) = 10 Reorder the terms: 5(-1 + x) + -4(x + -2) = 10 (-1 * 5 + x * 5) + -4(x + -2) = 10 (-5 + 5x) + -4(x + -2) = 10 Reorder the terms: -5 + 5x + -4(-2 + x) = 10 -5 + 5x + (-2 * -4 + x * -4) = 10 -5 + 5x + (8 + -4x) = 10 Reorder the terms: -5 + 8 + 5x + -4x = 10 Combine like terms: -5 + 8 = 3 3 + 5x + -4x = 10 Combine like terms: 5x + -4x = 1x 3 + 1x = 10 Solving 3 + 1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 10 + -3 1x = 10 + -3 Combine like terms: 10 + -3 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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