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Simplifying 0.6(2x + 6) = 0.7(x + -3) Reorder the terms: 0.6(6 + 2x) = 0.7(x + -3) (6 * 0.6 + 2x * 0.6) = 0.7(x + -3) (3.6 + 1.2x) = 0.7(x + -3) Reorder the terms: 3.6 + 1.2x = 0.7(-3 + x) 3.6 + 1.2x = (-3 * 0.7 + x * 0.7) 3.6 + 1.2x = (-2.1 + 0.7x) Solving 3.6 + 1.2x = -2.1 + 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 3.6 + 1.2x + -0.7x = -2.1 + 0.7x + -0.7x Combine like terms: 1.2x + -0.7x = 0.5x 3.6 + 0.5x = -2.1 + 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 3.6 + 0.5x = -2.1 + 0.0 3.6 + 0.5x = -2.1 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.5x = -2.1 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.5x = -2.1 + -3.6 0.5x = -2.1 + -3.6 Combine like terms: -2.1 + -3.6 = -5.7 0.5x = -5.7 Divide each side by '0.5'. x = -11.4 Simplifying x = -11.4
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