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Simplifying 102 + -6x = 10x + 22 Reorder the terms: 102 + -6x = 22 + 10x Solving 102 + -6x = 22 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 102 + -6x + -10x = 22 + 10x + -10x Combine like terms: -6x + -10x = -16x 102 + -16x = 22 + 10x + -10x Combine like terms: 10x + -10x = 0 102 + -16x = 22 + 0 102 + -16x = 22 Add '-102' to each side of the equation. 102 + -102 + -16x = 22 + -102 Combine like terms: 102 + -102 = 0 0 + -16x = 22 + -102 -16x = 22 + -102 Combine like terms: 22 + -102 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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