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Simplifying 0.9(3x + 7) = 3.4 + -1(x + -3) Reorder the terms: 0.9(7 + 3x) = 3.4 + -1(x + -3) (7 * 0.9 + 3x * 0.9) = 3.4 + -1(x + -3) (6.3 + 2.7x) = 3.4 + -1(x + -3) Reorder the terms: 6.3 + 2.7x = 3.4 + -1(-3 + x) 6.3 + 2.7x = 3.4 + (-3 * -1 + x * -1) 6.3 + 2.7x = 3.4 + (3 + -1x) Combine like terms: 3.4 + 3 = 6.4 6.3 + 2.7x = 6.4 + -1x Solving 6.3 + 2.7x = 6.4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6.3 + 2.7x + x = 6.4 + -1x + x Combine like terms: 2.7x + x = 3.7x 6.3 + 3.7x = 6.4 + -1x + x Combine like terms: -1x + x = 0 6.3 + 3.7x = 6.4 + 0 6.3 + 3.7x = 6.4 Add '-6.3' to each side of the equation. 6.3 + -6.3 + 3.7x = 6.4 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + 3.7x = 6.4 + -6.3 3.7x = 6.4 + -6.3 Combine like terms: 6.4 + -6.3 = 0.1 3.7x = 0.1 Divide each side by '3.7'. x = 0.02702702703 Simplifying x = 0.02702702703
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