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Simplifying 0.3(x + 2) = 5(x + -6) Reorder the terms: 0.3(2 + x) = 5(x + -6) (2 * 0.3 + x * 0.3) = 5(x + -6) (0.6 + 0.3x) = 5(x + -6) Reorder the terms: 0.6 + 0.3x = 5(-6 + x) 0.6 + 0.3x = (-6 * 5 + x * 5) 0.6 + 0.3x = (-30 + 5x) Solving 0.6 + 0.3x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 0.6 + 0.3x + -5x = -30 + 5x + -5x Combine like terms: 0.3x + -5x = -4.7x 0.6 + -4.7x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 0.6 + -4.7x = -30 + 0 0.6 + -4.7x = -30 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -4.7x = -30 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -4.7x = -30 + -0.6 -4.7x = -30 + -0.6 Combine like terms: -30 + -0.6 = -30.6 -4.7x = -30.6 Divide each side by '-4.7'. x = 6.510638298 Simplifying x = 6.510638298
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