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Simplifying 4(x + 5) + -6x = 40 + -2(6x + -5) Reorder the terms: 4(5 + x) + -6x = 40 + -2(6x + -5) (5 * 4 + x * 4) + -6x = 40 + -2(6x + -5) (20 + 4x) + -6x = 40 + -2(6x + -5) Combine like terms: 4x + -6x = -2x 20 + -2x = 40 + -2(6x + -5) Reorder the terms: 20 + -2x = 40 + -2(-5 + 6x) 20 + -2x = 40 + (-5 * -2 + 6x * -2) 20 + -2x = 40 + (10 + -12x) Combine like terms: 40 + 10 = 50 20 + -2x = 50 + -12x Solving 20 + -2x = 50 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 20 + -2x + 12x = 50 + -12x + 12x Combine like terms: -2x + 12x = 10x 20 + 10x = 50 + -12x + 12x Combine like terms: -12x + 12x = 0 20 + 10x = 50 + 0 20 + 10x = 50 Add '-20' to each side of the equation. 20 + -20 + 10x = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 10x = 50 + -20 10x = 50 + -20 Combine like terms: 50 + -20 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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