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Simplifying 6(x + -2) = 5(-0.4x + -1) Reorder the terms: 6(-2 + x) = 5(-0.4x + -1) (-2 * 6 + x * 6) = 5(-0.4x + -1) (-12 + 6x) = 5(-0.4x + -1) Reorder the terms: -12 + 6x = 5(-1 + -0.4x) -12 + 6x = (-1 * 5 + -0.4x * 5) -12 + 6x = (-5 + -2x) Solving -12 + 6x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 6x + 2x = -5 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = -5 + 0 -12 + 8x = -5 Add '12' to each side of the equation. -12 + 12 + 8x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -5 + 12 8x = -5 + 12 Combine like terms: -5 + 12 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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