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Simplifying 0.1x + -0.2(3 + -2x) = -0.7(x + -6) 0.1x + (3 * -0.2 + -2x * -0.2) = -0.7(x + -6) 0.1x + (-0.6 + 0.4x) = -0.7(x + -6) Reorder the terms: -0.6 + 0.1x + 0.4x = -0.7(x + -6) Combine like terms: 0.1x + 0.4x = 0.5x -0.6 + 0.5x = -0.7(x + -6) Reorder the terms: -0.6 + 0.5x = -0.7(-6 + x) -0.6 + 0.5x = (-6 * -0.7 + x * -0.7) -0.6 + 0.5x = (4.2 + -0.7x) Solving -0.6 + 0.5x = 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. -0.6 + 0.5x + 0.7x = 4.2 + -0.7x + 0.7x Combine like terms: 0.5x + 0.7x = 1.2x -0.6 + 1.2x = 4.2 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 -0.6 + 1.2x = 4.2 + 0.0 -0.6 + 1.2x = 4.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 1.2x = 4.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 1.2x = 4.2 + 0.6 1.2x = 4.2 + 0.6 Combine like terms: 4.2 + 0.6 = 4.8 1.2x = 4.8 Divide each side by '1.2'. x = 4 Simplifying x = 4
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