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Simplifying 114 + -2x = 5x + 23 Reorder the terms: 114 + -2x = 23 + 5x Solving 114 + -2x = 23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 114 + -2x + -5x = 23 + 5x + -5x Combine like terms: -2x + -5x = -7x 114 + -7x = 23 + 5x + -5x Combine like terms: 5x + -5x = 0 114 + -7x = 23 + 0 114 + -7x = 23 Add '-114' to each side of the equation. 114 + -114 + -7x = 23 + -114 Combine like terms: 114 + -114 = 0 0 + -7x = 23 + -114 -7x = 23 + -114 Combine like terms: 23 + -114 = -91 -7x = -91 Divide each side by '-7'. x = 13 Simplifying x = 13
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