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Simplifying 11.5x + -3 + -2.5x + 7 + -1x = 52 Reorder the terms: -3 + 7 + 11.5x + -2.5x + -1x = 52 Combine like terms: -3 + 7 = 4 4 + 11.5x + -2.5x + -1x = 52 Combine like terms: 11.5x + -2.5x = 9x 4 + 9x + -1x = 52 Combine like terms: 9x + -1x = 8x 4 + 8x = 52 Solving 4 + 8x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 52 + -4 8x = 52 + -4 Combine like terms: 52 + -4 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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