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Simplifying -117 + -10x = 7x + 19 Reorder the terms: -117 + -10x = 19 + 7x Solving -117 + -10x = 19 + 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. -117 + -10x + -7x = 19 + 7x + -7x Combine like terms: -10x + -7x = -17x -117 + -17x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -117 + -17x = 19 + 0 -117 + -17x = 19 Add '117' to each side of the equation. -117 + 117 + -17x = 19 + 117 Combine like terms: -117 + 117 = 0 0 + -17x = 19 + 117 -17x = 19 + 117 Combine like terms: 19 + 117 = 136 -17x = 136 Divide each side by '-17'. x = -8 Simplifying x = -8
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