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Simplifying 6 + 2(3x + -4) = -5(2x + -6) Reorder the terms: 6 + 2(-4 + 3x) = -5(2x + -6) 6 + (-4 * 2 + 3x * 2) = -5(2x + -6) 6 + (-8 + 6x) = -5(2x + -6) Combine like terms: 6 + -8 = -2 -2 + 6x = -5(2x + -6) Reorder the terms: -2 + 6x = -5(-6 + 2x) -2 + 6x = (-6 * -5 + 2x * -5) -2 + 6x = (30 + -10x) Solving -2 + 6x = 30 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -2 + 6x + 10x = 30 + -10x + 10x Combine like terms: 6x + 10x = 16x -2 + 16x = 30 + -10x + 10x Combine like terms: -10x + 10x = 0 -2 + 16x = 30 + 0 -2 + 16x = 30 Add '2' to each side of the equation. -2 + 2 + 16x = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 16x = 30 + 2 16x = 30 + 2 Combine like terms: 30 + 2 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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