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Simplifying 6x + 38 + -14 = 16x + 14 Reorder the terms: 38 + -14 + 6x = 16x + 14 Combine like terms: 38 + -14 = 24 24 + 6x = 16x + 14 Reorder the terms: 24 + 6x = 14 + 16x Solving 24 + 6x = 14 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 24 + 6x + -16x = 14 + 16x + -16x Combine like terms: 6x + -16x = -10x 24 + -10x = 14 + 16x + -16x Combine like terms: 16x + -16x = 0 24 + -10x = 14 + 0 24 + -10x = 14 Add '-24' to each side of the equation. 24 + -24 + -10x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -10x = 14 + -24 -10x = 14 + -24 Combine like terms: 14 + -24 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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