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Simplifying -117 + 4x = 51 + 10x Solving -117 + 4x = 51 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -117 + 4x + -10x = 51 + 10x + -10x Combine like terms: 4x + -10x = -6x -117 + -6x = 51 + 10x + -10x Combine like terms: 10x + -10x = 0 -117 + -6x = 51 + 0 -117 + -6x = 51 Add '117' to each side of the equation. -117 + 117 + -6x = 51 + 117 Combine like terms: -117 + 117 = 0 0 + -6x = 51 + 117 -6x = 51 + 117 Combine like terms: 51 + 117 = 168 -6x = 168 Divide each side by '-6'. x = -28 Simplifying x = -28
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