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Simplifying 2(0.3x + 1) = 23 + -0.1x Reorder the terms: 2(1 + 0.3x) = 23 + -0.1x (1 * 2 + 0.3x * 2) = 23 + -0.1x (2 + 0.6x) = 23 + -0.1x Solving 2 + 0.6x = 23 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 2 + 0.6x + 0.1x = 23 + -0.1x + 0.1x Combine like terms: 0.6x + 0.1x = 0.7x 2 + 0.7x = 23 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 2 + 0.7x = 23 + 0.0 2 + 0.7x = 23 Add '-2' to each side of the equation. 2 + -2 + 0.7x = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 0.7x = 23 + -2 0.7x = 23 + -2 Combine like terms: 23 + -2 = 21 0.7x = 21 Divide each side by '0.7'. x = 30 Simplifying x = 30
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