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Simplifying 117 = 6x + 4x + 7 Reorder the terms: 117 = 7 + 6x + 4x Combine like terms: 6x + 4x = 10x 117 = 7 + 10x Solving 117 = 7 + 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 + -10x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 117 + -10x = 7 + 0 117 + -10x = 7 Add '-117' to each side of the equation. 117 + -117 + -10x = 7 + -117 Combine like terms: 117 + -117 = 0 0 + -10x = 7 + -117 -10x = 7 + -117 Combine like terms: 7 + -117 = -110 -10x = -110 Divide each side by '-10'. x = 11 Simplifying x = 11
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