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Simplifying 54 + 7x = -117 + -2x Solving 54 + 7x = -117 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 54 + 7x + 2x = -117 + -2x + 2x Combine like terms: 7x + 2x = 9x 54 + 9x = -117 + -2x + 2x Combine like terms: -2x + 2x = 0 54 + 9x = -117 + 0 54 + 9x = -117 Add '-54' to each side of the equation. 54 + -54 + 9x = -117 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = -117 + -54 9x = -117 + -54 Combine like terms: -117 + -54 = -171 9x = -171 Divide each side by '9'. x = -19 Simplifying x = -19
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