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Simplifying 0.4(x + 7) = 0.3x + -0.2 Reorder the terms: 0.4(7 + x) = 0.3x + -0.2 (7 * 0.4 + x * 0.4) = 0.3x + -0.2 (2.8 + 0.4x) = 0.3x + -0.2 Reorder the terms: 2.8 + 0.4x = -0.2 + 0.3x Solving 2.8 + 0.4x = -0.2 + 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. 2.8 + 0.4x + -0.3x = -0.2 + 0.3x + -0.3x Combine like terms: 0.4x + -0.3x = 0.1x 2.8 + 0.1x = -0.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 2.8 + 0.1x = -0.2 + 0.0 2.8 + 0.1x = -0.2 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.1x = -0.2 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.1x = -0.2 + -2.8 0.1x = -0.2 + -2.8 Combine like terms: -0.2 + -2.8 = -3 0.1x = -3 Divide each side by '0.1'. x = -30 Simplifying x = -30
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