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Simplifying 3x + -2(4x + -5) = 2x + -11 Reorder the terms: 3x + -2(-5 + 4x) = 2x + -11 3x + (-5 * -2 + 4x * -2) = 2x + -11 3x + (10 + -8x) = 2x + -11 Reorder the terms: 10 + 3x + -8x = 2x + -11 Combine like terms: 3x + -8x = -5x 10 + -5x = 2x + -11 Reorder the terms: 10 + -5x = -11 + 2x Solving 10 + -5x = -11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + -5x + -2x = -11 + 2x + -2x Combine like terms: -5x + -2x = -7x 10 + -7x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -7x = -11 + 0 10 + -7x = -11 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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