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Simplifying -12 = -5(x + -1) + 9(x + -5) Reorder the terms: -12 = -5(-1 + x) + 9(x + -5) -12 = (-1 * -5 + x * -5) + 9(x + -5) -12 = (5 + -5x) + 9(x + -5) Reorder the terms: -12 = 5 + -5x + 9(-5 + x) -12 = 5 + -5x + (-5 * 9 + x * 9) -12 = 5 + -5x + (-45 + 9x) Reorder the terms: -12 = 5 + -45 + -5x + 9x Combine like terms: 5 + -45 = -40 -12 = -40 + -5x + 9x Combine like terms: -5x + 9x = 4x -12 = -40 + 4x Solving -12 = -40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -4x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -4x = -40 + 0 -12 + -4x = -40 Add '12' to each side of the equation. -12 + 12 + -4x = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -40 + 12 -4x = -40 + 12 Combine like terms: -40 + 12 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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