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Simplifying 0.3(x + 6) = 0.5(x + -2) Reorder the terms: 0.3(6 + x) = 0.5(x + -2) (6 * 0.3 + x * 0.3) = 0.5(x + -2) (1.8 + 0.3x) = 0.5(x + -2) Reorder the terms: 1.8 + 0.3x = 0.5(-2 + x) 1.8 + 0.3x = (-2 * 0.5 + x * 0.5) 1.8 + 0.3x = (-1 + 0.5x) Solving 1.8 + 0.3x = -1 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.8 + 0.3x + -0.5x = -1 + 0.5x + -0.5x Combine like terms: 0.3x + -0.5x = -0.2x 1.8 + -0.2x = -1 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.8 + -0.2x = -1 + 0.0 1.8 + -0.2x = -1 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.2x = -1 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.2x = -1 + -1.8 -0.2x = -1 + -1.8 Combine like terms: -1 + -1.8 = -2.8 -0.2x = -2.8 Divide each side by '-0.2'. x = 14 Simplifying x = 14
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