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Simplifying 5x + 150 = 8x + 204 Reorder the terms: 150 + 5x = 8x + 204 Reorder the terms: 150 + 5x = 204 + 8x Solving 150 + 5x = 204 + 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. 150 + 5x + -8x = 204 + 8x + -8x Combine like terms: 5x + -8x = -3x 150 + -3x = 204 + 8x + -8x Combine like terms: 8x + -8x = 0 150 + -3x = 204 + 0 150 + -3x = 204 Add '-150' to each side of the equation. 150 + -150 + -3x = 204 + -150 Combine like terms: 150 + -150 = 0 0 + -3x = 204 + -150 -3x = 204 + -150 Combine like terms: 204 + -150 = 54 -3x = 54 Divide each side by '-3'. x = -18 Simplifying x = -18
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