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Simplifying 5x + -1(2x + -6) = 3x + 2(4x + -5) Reorder the terms: 5x + -1(-6 + 2x) = 3x + 2(4x + -5) 5x + (-6 * -1 + 2x * -1) = 3x + 2(4x + -5) 5x + (6 + -2x) = 3x + 2(4x + -5) Reorder the terms: 6 + 5x + -2x = 3x + 2(4x + -5) Combine like terms: 5x + -2x = 3x 6 + 3x = 3x + 2(4x + -5) Reorder the terms: 6 + 3x = 3x + 2(-5 + 4x) 6 + 3x = 3x + (-5 * 2 + 4x * 2) 6 + 3x = 3x + (-10 + 8x) Reorder the terms: 6 + 3x = -10 + 3x + 8x Combine like terms: 3x + 8x = 11x 6 + 3x = -10 + 11x Solving 6 + 3x = -10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 6 + 3x + -11x = -10 + 11x + -11x Combine like terms: 3x + -11x = -8x 6 + -8x = -10 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + -8x = -10 + 0 6 + -8x = -10 Add '-6' to each side of the equation. 6 + -6 + -8x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -10 + -6 -8x = -10 + -6 Combine like terms: -10 + -6 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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