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Simplifying 117 + -5x = 2x + 19 Reorder the terms: 117 + -5x = 19 + 2x Solving 117 + -5x = 19 + 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. 117 + -5x + -2x = 19 + 2x + -2x Combine like terms: -5x + -2x = -7x 117 + -7x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 117 + -7x = 19 + 0 117 + -7x = 19 Add '-117' to each side of the equation. 117 + -117 + -7x = 19 + -117 Combine like terms: 117 + -117 = 0 0 + -7x = 19 + -117 -7x = 19 + -117 Combine like terms: 19 + -117 = -98 -7x = -98 Divide each side by '-7'. x = 14 Simplifying x = 14
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