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Simplifying 1.07(4x + 10 + 5.30) = 1.08(4x + 5 + 8.60) Reorder the terms: 1.07(10 + 5.30 + 4x) = 1.08(4x + 5 + 8.60) Combine like terms: 10 + 5.30 = 15.3 1.07(15.3 + 4x) = 1.08(4x + 5 + 8.60) (15.3 * 1.07 + 4x * 1.07) = 1.08(4x + 5 + 8.60) (16.371 + 4.28x) = 1.08(4x + 5 + 8.60) Reorder the terms: 16.371 + 4.28x = 1.08(5 + 8.60 + 4x) Combine like terms: 5 + 8.60 = 13.6 16.371 + 4.28x = 1.08(13.6 + 4x) 16.371 + 4.28x = (13.6 * 1.08 + 4x * 1.08) 16.371 + 4.28x = (14.688 + 4.32x) Solving 16.371 + 4.28x = 14.688 + 4.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.32x' to each side of the equation. 16.371 + 4.28x + -4.32x = 14.688 + 4.32x + -4.32x Combine like terms: 4.28x + -4.32x = -0.04x 16.371 + -0.04x = 14.688 + 4.32x + -4.32x Combine like terms: 4.32x + -4.32x = 0.00 16.371 + -0.04x = 14.688 + 0.00 16.371 + -0.04x = 14.688 Add '-16.371' to each side of the equation. 16.371 + -16.371 + -0.04x = 14.688 + -16.371 Combine like terms: 16.371 + -16.371 = 0.000 0.000 + -0.04x = 14.688 + -16.371 -0.04x = 14.688 + -16.371 Combine like terms: 14.688 + -16.371 = -1.683 -0.04x = -1.683 Divide each side by '-0.04'. x = 42.075 Simplifying x = 42.075
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