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Simplifying 10x + (x + -2) + -10(x + -3) + (x + -5) = 33 Reorder the terms: 10x + (-2 + x) + -10(x + -3) + (x + -5) = 33 Remove parenthesis around (-2 + x) 10x + -2 + x + -10(x + -3) + (x + -5) = 33 Reorder the terms: 10x + -2 + x + -10(-3 + x) + (x + -5) = 33 10x + -2 + x + (-3 * -10 + x * -10) + (x + -5) = 33 10x + -2 + x + (30 + -10x) + (x + -5) = 33 Reorder the terms: 10x + -2 + x + 30 + -10x + (-5 + x) = 33 Remove parenthesis around (-5 + x) 10x + -2 + x + 30 + -10x + -5 + x = 33 Reorder the terms: -2 + 30 + -5 + 10x + x + -10x + x = 33 Combine like terms: -2 + 30 = 28 28 + -5 + 10x + x + -10x + x = 33 Combine like terms: 28 + -5 = 23 23 + 10x + x + -10x + x = 33 Combine like terms: 10x + x = 11x 23 + 11x + -10x + x = 33 Combine like terms: 11x + -10x = 1x 23 + 1x + x = 33 Combine like terms: 1x + x = 2x 23 + 2x = 33 Solving 23 + 2x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2x = 33 + -23 Combine like terms: 23 + -23 = 0 0 + 2x = 33 + -23 2x = 33 + -23 Combine like terms: 33 + -23 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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