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Simplifying 0.4(5x + 9) = 0.7 + -1(x + -3) Reorder the terms: 0.4(9 + 5x) = 0.7 + -1(x + -3) (9 * 0.4 + 5x * 0.4) = 0.7 + -1(x + -3) (3.6 + 2x) = 0.7 + -1(x + -3) Reorder the terms: 3.6 + 2x = 0.7 + -1(-3 + x) 3.6 + 2x = 0.7 + (-3 * -1 + x * -1) 3.6 + 2x = 0.7 + (3 + -1x) Combine like terms: 0.7 + 3 = 3.7 3.6 + 2x = 3.7 + -1x Solving 3.6 + 2x = 3.7 + -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. 3.6 + 2x + x = 3.7 + -1x + x Combine like terms: 2x + x = 3x 3.6 + 3x = 3.7 + -1x + x Combine like terms: -1x + x = 0 3.6 + 3x = 3.7 + 0 3.6 + 3x = 3.7 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 3x = 3.7 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 3x = 3.7 + -3.6 3x = 3.7 + -3.6 Combine like terms: 3.7 + -3.6 = 0.1 3x = 0.1 Divide each side by '3'. x = 0.03333333333 Simplifying x = 0.03333333333
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