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Simplifying 0.7x + -0.2(13 + -4x) = -0.1(x + -6) 0.7x + (13 * -0.2 + -4x * -0.2) = -0.1(x + -6) 0.7x + (-2.6 + 0.8x) = -0.1(x + -6) Reorder the terms: -2.6 + 0.7x + 0.8x = -0.1(x + -6) Combine like terms: 0.7x + 0.8x = 1.5x -2.6 + 1.5x = -0.1(x + -6) Reorder the terms: -2.6 + 1.5x = -0.1(-6 + x) -2.6 + 1.5x = (-6 * -0.1 + x * -0.1) -2.6 + 1.5x = (0.6 + -0.1x) Solving -2.6 + 1.5x = 0.6 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -2.6 + 1.5x + 0.1x = 0.6 + -0.1x + 0.1x Combine like terms: 1.5x + 0.1x = 1.6x -2.6 + 1.6x = 0.6 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -2.6 + 1.6x = 0.6 + 0.0 -2.6 + 1.6x = 0.6 Add '2.6' to each side of the equation. -2.6 + 2.6 + 1.6x = 0.6 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 1.6x = 0.6 + 2.6 1.6x = 0.6 + 2.6 Combine like terms: 0.6 + 2.6 = 3.2 1.6x = 3.2 Divide each side by '1.6'. x = 2 Simplifying x = 2
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