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Simplifying 2(0.3x + 3) = -0.6(x + 10) Reorder the terms: 2(3 + 0.3x) = -0.6(x + 10) (3 * 2 + 0.3x * 2) = -0.6(x + 10) (6 + 0.6x) = -0.6(x + 10) Reorder the terms: 6 + 0.6x = -0.6(10 + x) 6 + 0.6x = (10 * -0.6 + x * -0.6) 6 + 0.6x = (-6 + -0.6x) Solving 6 + 0.6x = -6 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 6 + 0.6x + 0.6x = -6 + -0.6x + 0.6x Combine like terms: 0.6x + 0.6x = 1.2x 6 + 1.2x = -6 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 6 + 1.2x = -6 + 0.0 6 + 1.2x = -6 Add '-6' to each side of the equation. 6 + -6 + 1.2x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 1.2x = -6 + -6 1.2x = -6 + -6 Combine like terms: -6 + -6 = -12 1.2x = -12 Divide each side by '1.2'. x = -10 Simplifying x = -10
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