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Simplifying -1(4 + -1x) = 3.4(x + -6) (4 * -1 + -1x * -1) = 3.4(x + -6) (-4 + 1x) = 3.4(x + -6) Reorder the terms: -4 + 1x = 3.4(-6 + x) -4 + 1x = (-6 * 3.4 + x * 3.4) -4 + 1x = (-20.4 + 3.4x) Solving -4 + 1x = -20.4 + 3.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.4x' to each side of the equation. -4 + 1x + -3.4x = -20.4 + 3.4x + -3.4x Combine like terms: 1x + -3.4x = -2.4x -4 + -2.4x = -20.4 + 3.4x + -3.4x Combine like terms: 3.4x + -3.4x = 0.0 -4 + -2.4x = -20.4 + 0.0 -4 + -2.4x = -20.4 Add '4' to each side of the equation. -4 + 4 + -2.4x = -20.4 + 4 Combine like terms: -4 + 4 = 0 0 + -2.4x = -20.4 + 4 -2.4x = -20.4 + 4 Combine like terms: -20.4 + 4 = -16.4 -2.4x = -16.4 Divide each side by '-2.4'. x = 6.833333333 Simplifying x = 6.833333333
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