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Simplifying 0.6(35x + 40) + -5 = 0.3(9x + -6) Reorder the terms: 0.6(40 + 35x) + -5 = 0.3(9x + -6) (40 * 0.6 + 35x * 0.6) + -5 = 0.3(9x + -6) (24 + 21x) + -5 = 0.3(9x + -6) Reorder the terms: 24 + -5 + 21x = 0.3(9x + -6) Combine like terms: 24 + -5 = 19 19 + 21x = 0.3(9x + -6) Reorder the terms: 19 + 21x = 0.3(-6 + 9x) 19 + 21x = (-6 * 0.3 + 9x * 0.3) 19 + 21x = (-1.8 + 2.7x) Solving 19 + 21x = -1.8 + 2.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7x' to each side of the equation. 19 + 21x + -2.7x = -1.8 + 2.7x + -2.7x Combine like terms: 21x + -2.7x = 18.3x 19 + 18.3x = -1.8 + 2.7x + -2.7x Combine like terms: 2.7x + -2.7x = 0.0 19 + 18.3x = -1.8 + 0.0 19 + 18.3x = -1.8 Add '-19' to each side of the equation. 19 + -19 + 18.3x = -1.8 + -19 Combine like terms: 19 + -19 = 0 0 + 18.3x = -1.8 + -19 18.3x = -1.8 + -19 Combine like terms: -1.8 + -19 = -20.8 18.3x = -20.8 Divide each side by '18.3'. x = -1.136612022 Simplifying x = -1.136612022
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