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Simplifying 0.89x + 0.93(14 + -1x) = 12.74 0.89x + (14 * 0.93 + -1x * 0.93) = 12.74 0.89x + (13.02 + -0.93x) = 12.74 Reorder the terms: 13.02 + 0.89x + -0.93x = 12.74 Combine like terms: 0.89x + -0.93x = -0.04x 13.02 + -0.04x = 12.74 Solving 13.02 + -0.04x = 12.74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.02' to each side of the equation. 13.02 + -13.02 + -0.04x = 12.74 + -13.02 Combine like terms: 13.02 + -13.02 = 0.00 0.00 + -0.04x = 12.74 + -13.02 -0.04x = 12.74 + -13.02 Combine like terms: 12.74 + -13.02 = -0.28 -0.04x = -0.28 Divide each side by '-0.04'. x = 7 Simplifying x = 7
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