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Simplifying 5x + -3(x + -4) + 2(x + -4) = 0 Reorder the terms: 5x + -3(-4 + x) + 2(x + -4) = 0 5x + (-4 * -3 + x * -3) + 2(x + -4) = 0 5x + (12 + -3x) + 2(x + -4) = 0 Reorder the terms: 5x + 12 + -3x + 2(-4 + x) = 0 5x + 12 + -3x + (-4 * 2 + x * 2) = 0 5x + 12 + -3x + (-8 + 2x) = 0 Reorder the terms: 12 + -8 + 5x + -3x + 2x = 0 Combine like terms: 12 + -8 = 4 4 + 5x + -3x + 2x = 0 Combine like terms: 5x + -3x = 2x 4 + 2x + 2x = 0 Combine like terms: 2x + 2x = 4x 4 + 4x = 0 Solving 4 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 0 + -4 4x = 0 + -4 Combine like terms: 0 + -4 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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