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Simplifying 4.74 + 0.07(x + 3) = 15.25 + -0.09x Reorder the terms: 4.74 + 0.07(3 + x) = 15.25 + -0.09x 4.74 + (3 * 0.07 + x * 0.07) = 15.25 + -0.09x 4.74 + (0.21 + 0.07x) = 15.25 + -0.09x Combine like terms: 4.74 + 0.21 = 4.95 4.95 + 0.07x = 15.25 + -0.09x Solving 4.95 + 0.07x = 15.25 + -0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.09x' to each side of the equation. 4.95 + 0.07x + 0.09x = 15.25 + -0.09x + 0.09x Combine like terms: 0.07x + 0.09x = 0.16x 4.95 + 0.16x = 15.25 + -0.09x + 0.09x Combine like terms: -0.09x + 0.09x = 0.00 4.95 + 0.16x = 15.25 + 0.00 4.95 + 0.16x = 15.25 Add '-4.95' to each side of the equation. 4.95 + -4.95 + 0.16x = 15.25 + -4.95 Combine like terms: 4.95 + -4.95 = 0.00 0.00 + 0.16x = 15.25 + -4.95 0.16x = 15.25 + -4.95 Combine like terms: 15.25 + -4.95 = 10.3 0.16x = 10.3 Divide each side by '0.16'. x = 64.375 Simplifying x = 64.375
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