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Simplifying 0.4x + -0.3(12 + -5x) = -0.7(x + -6) 0.4x + (12 * -0.3 + -5x * -0.3) = -0.7(x + -6) 0.4x + (-3.6 + 1.5x) = -0.7(x + -6) Reorder the terms: -3.6 + 0.4x + 1.5x = -0.7(x + -6) Combine like terms: 0.4x + 1.5x = 1.9x -3.6 + 1.9x = -0.7(x + -6) Reorder the terms: -3.6 + 1.9x = -0.7(-6 + x) -3.6 + 1.9x = (-6 * -0.7 + x * -0.7) -3.6 + 1.9x = (4.2 + -0.7x) Solving -3.6 + 1.9x = 4.2 + -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 + 1.9x + 0.7x = 4.2 + -0.7x + 0.7x Combine like terms: 1.9x + 0.7x = 2.6x -3.6 + 2.6x = 4.2 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -3.6 + 2.6x = 4.2 + 0.0 -3.6 + 2.6x = 4.2 Add '3.6' to each side of the equation. -3.6 + 3.6 + 2.6x = 4.2 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 2.6x = 4.2 + 3.6 2.6x = 4.2 + 3.6 Combine like terms: 4.2 + 3.6 = 7.8 2.6x = 7.8 Divide each side by '2.6'. x = 3 Simplifying x = 3
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