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Simplifying 1.07(4x + 10) + 5.30 = 1.08(4x + 5) + 8.60 Reorder the terms: 1.07(10 + 4x) + 5.30 = 1.08(4x + 5) + 8.60 (10 * 1.07 + 4x * 1.07) + 5.30 = 1.08(4x + 5) + 8.60 (10.7 + 4.28x) + 5.30 = 1.08(4x + 5) + 8.60 Reorder the terms: 10.7 + 5.30 + 4.28x = 1.08(4x + 5) + 8.60 Combine like terms: 10.7 + 5.30 = 16 16 + 4.28x = 1.08(4x + 5) + 8.60 Reorder the terms: 16 + 4.28x = 1.08(5 + 4x) + 8.60 16 + 4.28x = (5 * 1.08 + 4x * 1.08) + 8.60 16 + 4.28x = (5.4 + 4.32x) + 8.60 Reorder the terms: 16 + 4.28x = 5.4 + 8.60 + 4.32x Combine like terms: 5.4 + 8.60 = 14 16 + 4.28x = 14 + 4.32x Solving 16 + 4.28x = 14 + 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 + 4.28x + -4.32x = 14 + 4.32x + -4.32x Combine like terms: 4.28x + -4.32x = -0.04x 16 + -0.04x = 14 + 4.32x + -4.32x Combine like terms: 4.32x + -4.32x = 0.00 16 + -0.04x = 14 + 0.00 16 + -0.04x = 14 Add '-16' to each side of the equation. 16 + -16 + -0.04x = 14 + -16 Combine like terms: 16 + -16 = 0 0 + -0.04x = 14 + -16 -0.04x = 14 + -16 Combine like terms: 14 + -16 = -2 -0.04x = -2 Divide each side by '-0.04'. x = 50 Simplifying x = 50
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