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Simplifying -114 + -10x = 7x + 22 Reorder the terms: -114 + -10x = 22 + 7x Solving -114 + -10x = 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. -114 + -10x + -7x = 22 + 7x + -7x Combine like terms: -10x + -7x = -17x -114 + -17x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 -114 + -17x = 22 + 0 -114 + -17x = 22 Add '114' to each side of the equation. -114 + 114 + -17x = 22 + 114 Combine like terms: -114 + 114 = 0 0 + -17x = 22 + 114 -17x = 22 + 114 Combine like terms: 22 + 114 = 136 -17x = 136 Divide each side by '-17'. x = -8 Simplifying x = -8
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