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Simplifying -5 = 5(x + -6) + 4(2 + -3x) Reorder the terms: -5 = 5(-6 + x) + 4(2 + -3x) -5 = (-6 * 5 + x * 5) + 4(2 + -3x) -5 = (-30 + 5x) + 4(2 + -3x) -5 = -30 + 5x + (2 * 4 + -3x * 4) -5 = -30 + 5x + (8 + -12x) Reorder the terms: -5 = -30 + 8 + 5x + -12x Combine like terms: -30 + 8 = -22 -5 = -22 + 5x + -12x Combine like terms: 5x + -12x = -7x -5 = -22 + -7x Solving -5 = -22 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 7x = -22 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 7x = -22 + 0 -5 + 7x = -22 Add '5' to each side of the equation. -5 + 5 + 7x = -22 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -22 + 5 7x = -22 + 5 Combine like terms: -22 + 5 = -17 7x = -17 Divide each side by '7'. x = -2.428571429 Simplifying x = -2.428571429
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