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Simplifying 6x + -3(x + 2) + 2(2x + -2) = 11 Reorder the terms: 6x + -3(2 + x) + 2(2x + -2) = 11 6x + (2 * -3 + x * -3) + 2(2x + -2) = 11 6x + (-6 + -3x) + 2(2x + -2) = 11 Reorder the terms: 6x + -6 + -3x + 2(-2 + 2x) = 11 6x + -6 + -3x + (-2 * 2 + 2x * 2) = 11 6x + -6 + -3x + (-4 + 4x) = 11 Reorder the terms: -6 + -4 + 6x + -3x + 4x = 11 Combine like terms: -6 + -4 = -10 -10 + 6x + -3x + 4x = 11 Combine like terms: 6x + -3x = 3x -10 + 3x + 4x = 11 Combine like terms: 3x + 4x = 7x -10 + 7x = 11 Solving -10 + 7x = 11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 11 + 10 7x = 11 + 10 Combine like terms: 11 + 10 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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