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Simplifying 0.3x + -0.2(12 + -5x) = -0.7(x + -8) 0.3x + (12 * -0.2 + -5x * -0.2) = -0.7(x + -8) 0.3x + (-2.4 + 1x) = -0.7(x + -8) Reorder the terms: -2.4 + 0.3x + 1x = -0.7(x + -8) Combine like terms: 0.3x + 1x = 1.3x -2.4 + 1.3x = -0.7(x + -8) Reorder the terms: -2.4 + 1.3x = -0.7(-8 + x) -2.4 + 1.3x = (-8 * -0.7 + x * -0.7) -2.4 + 1.3x = (5.6 + -0.7x) Solving -2.4 + 1.3x = 5.6 + -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. -2.4 + 1.3x + 0.7x = 5.6 + -0.7x + 0.7x Combine like terms: 1.3x + 0.7x = 2x -2.4 + 2x = 5.6 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -2.4 + 2x = 5.6 + 0.0 -2.4 + 2x = 5.6 Add '2.4' to each side of the equation. -2.4 + 2.4 + 2x = 5.6 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 2x = 5.6 + 2.4 2x = 5.6 + 2.4 Combine like terms: 5.6 + 2.4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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