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Simplifying 5.0x + 8.6 = 3.0(x + 4.0) Reorder the terms: 8.6 + 5.0x = 3.0(x + 4.0) Reorder the terms: 8.6 + 5.0x = 3.0(4.0 + x) 8.6 + 5.0x = (4.0 * 3.0 + x * 3.0) 8.6 + 5.0x = (12 + 3.0x) Solving 8.6 + 5.0x = 12 + 3.0x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.0x' to each side of the equation. 8.6 + 5.0x + -3.0x = 12 + 3.0x + -3.0x Combine like terms: 5.0x + -3.0x = 2x 8.6 + 2x = 12 + 3.0x + -3.0x Combine like terms: 3.0x + -3.0x = 0.0 8.6 + 2x = 12 + 0.0 8.6 + 2x = 12 Add '-8.6' to each side of the equation. 8.6 + -8.6 + 2x = 12 + -8.6 Combine like terms: 8.6 + -8.6 = 0.0 0.0 + 2x = 12 + -8.6 2x = 12 + -8.6 Combine like terms: 12 + -8.6 = 3.4 2x = 3.4 Divide each side by '2'. x = 1.7 Simplifying x = 1.7
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