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Simplifying 3x + 117 = 7x + 189 Reorder the terms: 117 + 3x = 7x + 189 Reorder the terms: 117 + 3x = 189 + 7x Solving 117 + 3x = 189 + 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 + 3x + -7x = 189 + 7x + -7x Combine like terms: 3x + -7x = -4x 117 + -4x = 189 + 7x + -7x Combine like terms: 7x + -7x = 0 117 + -4x = 189 + 0 117 + -4x = 189 Add '-117' to each side of the equation. 117 + -117 + -4x = 189 + -117 Combine like terms: 117 + -117 = 0 0 + -4x = 189 + -117 -4x = 189 + -117 Combine like terms: 189 + -117 = 72 -4x = 72 Divide each side by '-4'. x = -18 Simplifying x = -18
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