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Simplifying 0.7(x + 90) + 0.9x = 127 Reorder the terms: 0.7(90 + x) + 0.9x = 127 (90 * 0.7 + x * 0.7) + 0.9x = 127 (63 + 0.7x) + 0.9x = 127 Combine like terms: 0.7x + 0.9x = 1.6x 63 + 1.6x = 127 Solving 63 + 1.6x = 127 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 1.6x = 127 + -63 Combine like terms: 63 + -63 = 0 0 + 1.6x = 127 + -63 1.6x = 127 + -63 Combine like terms: 127 + -63 = 64 1.6x = 64 Divide each side by '1.6'. x = 40 Simplifying x = 40
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