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Simplifying 0.4(x + 5) = 17 + -0.3x Reorder the terms: 0.4(5 + x) = 17 + -0.3x (5 * 0.4 + x * 0.4) = 17 + -0.3x (2 + 0.4x) = 17 + -0.3x Solving 2 + 0.4x = 17 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 2 + 0.4x + 0.3x = 17 + -0.3x + 0.3x Combine like terms: 0.4x + 0.3x = 0.7x 2 + 0.7x = 17 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 2 + 0.7x = 17 + 0.0 2 + 0.7x = 17 Add '-2' to each side of the equation. 2 + -2 + 0.7x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 0.7x = 17 + -2 0.7x = 17 + -2 Combine like terms: 17 + -2 = 15 0.7x = 15 Divide each side by '0.7'. x = 21.42857143 Simplifying x = 21.42857143
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