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Simplifying 2x + -6(2x + -5) = 5(4 + -3x) Reorder the terms: 2x + -6(-5 + 2x) = 5(4 + -3x) 2x + (-5 * -6 + 2x * -6) = 5(4 + -3x) 2x + (30 + -12x) = 5(4 + -3x) Reorder the terms: 30 + 2x + -12x = 5(4 + -3x) Combine like terms: 2x + -12x = -10x 30 + -10x = 5(4 + -3x) 30 + -10x = (4 * 5 + -3x * 5) 30 + -10x = (20 + -15x) Solving 30 + -10x = 20 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 30 + -10x + 15x = 20 + -15x + 15x Combine like terms: -10x + 15x = 5x 30 + 5x = 20 + -15x + 15x Combine like terms: -15x + 15x = 0 30 + 5x = 20 + 0 30 + 5x = 20 Add '-30' to each side of the equation. 30 + -30 + 5x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 5x = 20 + -30 5x = 20 + -30 Combine like terms: 20 + -30 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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