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Simplifying -117 = -7x + 3(-5x + 5) Reorder the terms: -117 = -7x + 3(5 + -5x) -117 = -7x + (5 * 3 + -5x * 3) -117 = -7x + (15 + -15x) Reorder the terms: -117 = 15 + -7x + -15x Combine like terms: -7x + -15x = -22x -117 = 15 + -22x Solving -117 = 15 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. -117 + 22x = 15 + -22x + 22x Combine like terms: -22x + 22x = 0 -117 + 22x = 15 + 0 -117 + 22x = 15 Add '117' to each side of the equation. -117 + 117 + 22x = 15 + 117 Combine like terms: -117 + 117 = 0 0 + 22x = 15 + 117 22x = 15 + 117 Combine like terms: 15 + 117 = 132 22x = 132 Divide each side by '22'. x = 6 Simplifying x = 6
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