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Simplifying 10x + -6x + 204 = 10x + 102 Reorder the terms: 204 + 10x + -6x = 10x + 102 Combine like terms: 10x + -6x = 4x 204 + 4x = 10x + 102 Reorder the terms: 204 + 4x = 102 + 10x Solving 204 + 4x = 102 + 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. 204 + 4x + -10x = 102 + 10x + -10x Combine like terms: 4x + -10x = -6x 204 + -6x = 102 + 10x + -10x Combine like terms: 10x + -10x = 0 204 + -6x = 102 + 0 204 + -6x = 102 Add '-204' to each side of the equation. 204 + -204 + -6x = 102 + -204 Combine like terms: 204 + -204 = 0 0 + -6x = 102 + -204 -6x = 102 + -204 Combine like terms: 102 + -204 = -102 -6x = -102 Divide each side by '-6'. x = 17 Simplifying x = 17
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