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Simplifying 5(x + -2) + -2(x + -3) = 11 Reorder the terms: 5(-2 + x) + -2(x + -3) = 11 (-2 * 5 + x * 5) + -2(x + -3) = 11 (-10 + 5x) + -2(x + -3) = 11 Reorder the terms: -10 + 5x + -2(-3 + x) = 11 -10 + 5x + (-3 * -2 + x * -2) = 11 -10 + 5x + (6 + -2x) = 11 Reorder the terms: -10 + 6 + 5x + -2x = 11 Combine like terms: -10 + 6 = -4 -4 + 5x + -2x = 11 Combine like terms: 5x + -2x = 3x -4 + 3x = 11 Solving -4 + 3x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 11 + 4 3x = 11 + 4 Combine like terms: 11 + 4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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