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Simplifying 11 + 5(2 + -1x) = -3(x + -3) 11 + (2 * 5 + -1x * 5) = -3(x + -3) 11 + (10 + -5x) = -3(x + -3) Combine like terms: 11 + 10 = 21 21 + -5x = -3(x + -3) Reorder the terms: 21 + -5x = -3(-3 + x) 21 + -5x = (-3 * -3 + x * -3) 21 + -5x = (9 + -3x) Solving 21 + -5x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + -5x + 3x = 9 + -3x + 3x Combine like terms: -5x + 3x = -2x 21 + -2x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 21 + -2x = 9 + 0 21 + -2x = 9 Add '-21' to each side of the equation. 21 + -21 + -2x = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 9 + -21 -2x = 9 + -21 Combine like terms: 9 + -21 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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