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Simplifying 5(x + -1x + -4) + -2(2x + -3x + 2) = 0 Reorder the terms: 5(-4 + x + -1x) + -2(2x + -3x + 2) = 0 Combine like terms: x + -1x = 0 5(-4 + 0) + -2(2x + -3x + 2) = 0 5(-4) + -2(2x + -3x + 2) = 0 Multiply 5 * -4 -20 + -2(2x + -3x + 2) = 0 Reorder the terms: -20 + -2(2 + 2x + -3x) = 0 Combine like terms: 2x + -3x = -1x -20 + -2(2 + -1x) = 0 -20 + (2 * -2 + -1x * -2) = 0 -20 + (-4 + 2x) = 0 Combine like terms: -20 + -4 = -24 -24 + 2x = 0 Solving -24 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 2x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = 0 + 24 2x = 0 + 24 Combine like terms: 0 + 24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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