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Simplifying 1 + 0.07(4x + 10 + 5.30) = 1 + 0.08(4x + 5 + 8.60) Reorder the terms: 1 + 0.07(10 + 5.30 + 4x) = 1 + 0.08(4x + 5 + 8.60) Combine like terms: 10 + 5.30 = 15.3 1 + 0.07(15.3 + 4x) = 1 + 0.08(4x + 5 + 8.60) 1 + (15.3 * 0.07 + 4x * 0.07) = 1 + 0.08(4x + 5 + 8.60) 1 + (1.071 + 0.28x) = 1 + 0.08(4x + 5 + 8.60) Combine like terms: 1 + 1.071 = 2.071 2.071 + 0.28x = 1 + 0.08(4x + 5 + 8.60) Reorder the terms: 2.071 + 0.28x = 1 + 0.08(5 + 8.60 + 4x) Combine like terms: 5 + 8.60 = 13.6 2.071 + 0.28x = 1 + 0.08(13.6 + 4x) 2.071 + 0.28x = 1 + (13.6 * 0.08 + 4x * 0.08) 2.071 + 0.28x = 1 + (1.088 + 0.32x) Combine like terms: 1 + 1.088 = 2.088 2.071 + 0.28x = 2.088 + 0.32x Solving 2.071 + 0.28x = 2.088 + 0.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32x' to each side of the equation. 2.071 + 0.28x + -0.32x = 2.088 + 0.32x + -0.32x Combine like terms: 0.28x + -0.32x = -0.04x 2.071 + -0.04x = 2.088 + 0.32x + -0.32x Combine like terms: 0.32x + -0.32x = 0.00 2.071 + -0.04x = 2.088 + 0.00 2.071 + -0.04x = 2.088 Add '-2.071' to each side of the equation. 2.071 + -2.071 + -0.04x = 2.088 + -2.071 Combine like terms: 2.071 + -2.071 = 0.000 0.000 + -0.04x = 2.088 + -2.071 -0.04x = 2.088 + -2.071 Combine like terms: 2.088 + -2.071 = 0.017 -0.04x = 0.017 Divide each side by '-0.04'. x = -0.425 Simplifying x = -0.425
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