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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 + 4x) + 5.30 = 1 + 0.08(4x + 5) + 8.60 1 + (10 * 0.07 + 4x * 0.07) + 5.30 = 1 + 0.08(4x + 5) + 8.60 1 + (0.7 + 0.28x) + 5.30 = 1 + 0.08(4x + 5) + 8.60 Reorder the terms: 1 + 0.7 + 5.30 + 0.28x = 1 + 0.08(4x + 5) + 8.60 Combine like terms: 1 + 0.7 = 1.7 1.7 + 5.30 + 0.28x = 1 + 0.08(4x + 5) + 8.60 Combine like terms: 1.7 + 5.30 = 7 7 + 0.28x = 1 + 0.08(4x + 5) + 8.60 Reorder the terms: 7 + 0.28x = 1 + 0.08(5 + 4x) + 8.60 7 + 0.28x = 1 + (5 * 0.08 + 4x * 0.08) + 8.60 7 + 0.28x = 1 + (0.4 + 0.32x) + 8.60 Reorder the terms: 7 + 0.28x = 1 + 0.4 + 8.60 + 0.32x Combine like terms: 1 + 0.4 = 1.4 7 + 0.28x = 1.4 + 8.60 + 0.32x Combine like terms: 1.4 + 8.60 = 10 7 + 0.28x = 10 + 0.32x Solving 7 + 0.28x = 10 + 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. 7 + 0.28x + -0.32x = 10 + 0.32x + -0.32x Combine like terms: 0.28x + -0.32x = -0.04x 7 + -0.04x = 10 + 0.32x + -0.32x Combine like terms: 0.32x + -0.32x = 0.00 7 + -0.04x = 10 + 0.00 7 + -0.04x = 10 Add '-7' to each side of the equation. 7 + -7 + -0.04x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -0.04x = 10 + -7 -0.04x = 10 + -7 Combine like terms: 10 + -7 = 3 -0.04x = 3 Divide each side by '-0.04'. x = -75 Simplifying x = -75
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