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Simplifying 2(2x + -5) + -3(2x + 7) + 11 = 0 Reorder the terms: 2(-5 + 2x) + -3(2x + 7) + 11 = 0 (-5 * 2 + 2x * 2) + -3(2x + 7) + 11 = 0 (-10 + 4x) + -3(2x + 7) + 11 = 0 Reorder the terms: -10 + 4x + -3(7 + 2x) + 11 = 0 -10 + 4x + (7 * -3 + 2x * -3) + 11 = 0 -10 + 4x + (-21 + -6x) + 11 = 0 Reorder the terms: -10 + -21 + 11 + 4x + -6x = 0 Combine like terms: -10 + -21 = -31 -31 + 11 + 4x + -6x = 0 Combine like terms: -31 + 11 = -20 -20 + 4x + -6x = 0 Combine like terms: 4x + -6x = -2x -20 + -2x = 0 Solving -20 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -2x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = 0 + 20 -2x = 0 + 20 Combine like terms: 0 + 20 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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