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