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Simplifying 2(x + -4) + -6(2x + -3) = 0 Reorder the terms: 2(-4 + x) + -6(2x + -3) = 0 (-4 * 2 + x * 2) + -6(2x + -3) = 0 (-8 + 2x) + -6(2x + -3) = 0 Reorder the terms: -8 + 2x + -6(-3 + 2x) = 0 -8 + 2x + (-3 * -6 + 2x * -6) = 0 -8 + 2x + (18 + -12x) = 0 Reorder the terms: -8 + 18 + 2x + -12x = 0 Combine like terms: -8 + 18 = 10 10 + 2x + -12x = 0 Combine like terms: 2x + -12x = -10x 10 + -10x = 0 Solving 10 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -10x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 0 + -10 -10x = 0 + -10 Combine like terms: 0 + -10 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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