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Simplifying 114 + 13x = 66 + 7x Solving 114 + 13x = 66 + 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. 114 + 13x + -7x = 66 + 7x + -7x Combine like terms: 13x + -7x = 6x 114 + 6x = 66 + 7x + -7x Combine like terms: 7x + -7x = 0 114 + 6x = 66 + 0 114 + 6x = 66 Add '-114' to each side of the equation. 114 + -114 + 6x = 66 + -114 Combine like terms: 114 + -114 = 0 0 + 6x = 66 + -114 6x = 66 + -114 Combine like terms: 66 + -114 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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