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Simplifying 8x + -6x + 204 = 8x + 90 Reorder the terms: 204 + 8x + -6x = 8x + 90 Combine like terms: 8x + -6x = 2x 204 + 2x = 8x + 90 Reorder the terms: 204 + 2x = 90 + 8x Solving 204 + 2x = 90 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 204 + 2x + -8x = 90 + 8x + -8x Combine like terms: 2x + -8x = -6x 204 + -6x = 90 + 8x + -8x Combine like terms: 8x + -8x = 0 204 + -6x = 90 + 0 204 + -6x = 90 Add '-204' to each side of the equation. 204 + -204 + -6x = 90 + -204 Combine like terms: 204 + -204 = 0 0 + -6x = 90 + -204 -6x = 90 + -204 Combine like terms: 90 + -204 = -114 -6x = -114 Divide each side by '-6'. x = 19 Simplifying x = 19
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