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Simplifying 0.17(12 + -6x) = 5(x + 4) (12 * 0.17 + -6x * 0.17) = 5(x + 4) (2.04 + -1.02x) = 5(x + 4) Reorder the terms: 2.04 + -1.02x = 5(4 + x) 2.04 + -1.02x = (4 * 5 + x * 5) 2.04 + -1.02x = (20 + 5x) Solving 2.04 + -1.02x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2.04 + -1.02x + -5x = 20 + 5x + -5x Combine like terms: -1.02x + -5x = -6.02x 2.04 + -6.02x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 2.04 + -6.02x = 20 + 0 2.04 + -6.02x = 20 Add '-2.04' to each side of the equation. 2.04 + -2.04 + -6.02x = 20 + -2.04 Combine like terms: 2.04 + -2.04 = 0.00 0.00 + -6.02x = 20 + -2.04 -6.02x = 20 + -2.04 Combine like terms: 20 + -2.04 = 17.96 -6.02x = 17.96 Divide each side by '-6.02'. x = -2.983388704 Simplifying x = -2.983388704
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