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Simplifying -0.2(4x + -5) + 2x = 0.4(3 + -4) Reorder the terms: -0.2(-5 + 4x) + 2x = 0.4(3 + -4) (-5 * -0.2 + 4x * -0.2) + 2x = 0.4(3 + -4) (1 + -0.8x) + 2x = 0.4(3 + -4) Combine like terms: -0.8x + 2x = 1.2x 1 + 1.2x = 0.4(3 + -4) Combine like terms: 3 + -4 = -1 1 + 1.2x = 0.4(-1) Multiply 0.4 * -1 1 + 1.2x = -0.4 Solving 1 + 1.2x = -0.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1.2x = -0.4 + -1 Combine like terms: 1 + -1 = 0 0 + 1.2x = -0.4 + -1 1.2x = -0.4 + -1 Combine like terms: -0.4 + -1 = -1.4 1.2x = -1.4 Divide each side by '1.2'. x = -1.166666667 Simplifying x = -1.166666667
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