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Simplifying 5 + -0.4(3x + 2) = -1(x + -6) Reorder the terms: 5 + -0.4(2 + 3x) = -1(x + -6) 5 + (2 * -0.4 + 3x * -0.4) = -1(x + -6) 5 + (-0.8 + -1.2x) = -1(x + -6) Combine like terms: 5 + -0.8 = 4.2 4.2 + -1.2x = -1(x + -6) Reorder the terms: 4.2 + -1.2x = -1(-6 + x) 4.2 + -1.2x = (-6 * -1 + x * -1) 4.2 + -1.2x = (6 + -1x) Solving 4.2 + -1.2x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4.2 + -1.2x + x = 6 + -1x + x Combine like terms: -1.2x + x = -0.2x 4.2 + -0.2x = 6 + -1x + x Combine like terms: -1x + x = 0 4.2 + -0.2x = 6 + 0 4.2 + -0.2x = 6 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -0.2x = 6 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -0.2x = 6 + -4.2 -0.2x = 6 + -4.2 Combine like terms: 6 + -4.2 = 1.8 -0.2x = 1.8 Divide each side by '-0.2'. x = -9 Simplifying x = -9
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