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Simplifying 5(x + -4) + -12x + 13 = 0 Reorder the terms: 5(-4 + x) + -12x + 13 = 0 (-4 * 5 + x * 5) + -12x + 13 = 0 (-20 + 5x) + -12x + 13 = 0 Reorder the terms: -20 + 13 + 5x + -12x = 0 Combine like terms: -20 + 13 = -7 -7 + 5x + -12x = 0 Combine like terms: 5x + -12x = -7x -7 + -7x = 0 Solving -7 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -7x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = 0 + 7 -7x = 0 + 7 Combine like terms: 0 + 7 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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