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Simplifying 0.1(x + 10) = 0.3x + -4 Reorder the terms: 0.1(10 + x) = 0.3x + -4 (10 * 0.1 + x * 0.1) = 0.3x + -4 (1 + 0.1x) = 0.3x + -4 Reorder the terms: 1 + 0.1x = -4 + 0.3x Solving 1 + 0.1x = -4 + 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. 1 + 0.1x + -0.3x = -4 + 0.3x + -0.3x Combine like terms: 0.1x + -0.3x = -0.2x 1 + -0.2x = -4 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1 + -0.2x = -4 + 0.0 1 + -0.2x = -4 Add '-1' to each side of the equation. 1 + -1 + -0.2x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x = -4 + -1 -0.2x = -4 + -1 Combine like terms: -4 + -1 = -5 -0.2x = -5 Divide each side by '-0.2'. x = 25 Simplifying x = 25
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